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Finding the Fourth Proportional to 459,377.10, 687,121.65 and 412,332.30

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Solution

The fourth proportional to 459,377.10, 687,121.65 and 412,332.30 is: 616,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,377.10 : 687,121.65 = 412,332.30 : x
  2. Step 2: Convert to fraction form
    459,377.10/687,121.65 = 412,332.30/x
  3. Step 3: Cross multiply
    459,377.10x = 687,121.65 × 412,332.30
  4. Step 4: Simplify right side
    459,377.10x = 283,322,450,324.30
  5. Step 5: Solve for x
    x = 283,322,450,324.30/459,377.10
  6. Step 6: Final answer
    x = 616,753.54

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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.