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Finding the Fourth Proportional to 646,706.12, 970,209.43 and 220,245.63

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Solution

The fourth proportional to 646,706.12, 970,209.43 and 220,245.63 is: 330,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,706.12 : 970,209.43 = 220,245.63 : x
  2. Step 2: Convert to fraction form
    646,706.12/970,209.43 = 220,245.63/x
  3. Step 3: Cross multiply
    646,706.12x = 970,209.43 × 220,245.63
  4. Step 4: Simplify right side
    646,706.12x = 213,684,382,953.39
  5. Step 5: Solve for x
    x = 213,684,382,953.39/646,706.12
  6. Step 6: Final answer
    x = 330,419.61

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.