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Finding the Fourth Proportional to 512,966.20, 769,449.30 and 470,975.80

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Solution

The fourth proportional to 512,966.20, 769,449.30 and 470,975.80 is: 706,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,966.20 : 769,449.30 = 470,975.80 : x
  2. Step 2: Convert to fraction form
    512,966.20/769,449.30 = 470,975.80/x
  3. Step 3: Cross multiply
    512,966.20x = 769,449.30 × 470,975.80
  4. Step 4: Simplify right side
    512,966.20x = 362,391,999,626.94
  5. Step 5: Solve for x
    x = 362,391,999,626.94/512,966.20
  6. Step 6: Final answer
    x = 706,463.70

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Double scale
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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.