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Finding the Fourth Proportional to 516,411.50, 712,714.70 and 290,057

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Solution

The fourth proportional to 516,411.50, 712,714.70 and 290,057 is: 400,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,411.50 : 712,714.70 = 290,057 : x
  2. Step 2: Convert to fraction form
    516,411.50/712,714.70 = 290,057/x
  3. Step 3: Cross multiply
    516,411.50x = 712,714.70 × 290,057
  4. Step 4: Simplify right side
    516,411.50x = 206,727,887,737.90
  5. Step 5: Solve for x
    x = 206,727,887,737.90/516,411.50
  6. Step 6: Final answer
    x = 400,316.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.