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Finding the Fourth Proportional to 646,705.09, 970,207.86 and 220,244.57

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Solution

The fourth proportional to 646,705.09, 970,207.86 and 220,244.57 is: 330,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,705.09 : 970,207.86 = 220,244.57 : x
  2. Step 2: Convert to fraction form
    646,705.09/970,207.86 = 220,244.57/x
  3. Step 3: Cross multiply
    646,705.09x = 970,207.86 × 220,244.57
  4. Step 4: Simplify right side
    646,705.09x = 213,683,012,549.48
  5. Step 5: Solve for x
    x = 213,683,012,549.48/646,705.09
  6. Step 6: Final answer
    x = 330,418.02

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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.