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Finding the Fourth Proportional to 514,057.50, 708,131.80 and 437,330.86

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Solution

The fourth proportional to 514,057.50, 708,131.80 and 437,330.86 is: 602,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,057.50 : 708,131.80 = 437,330.86 : x
  2. Step 2: Convert to fraction form
    514,057.50/708,131.80 = 437,330.86/x
  3. Step 3: Cross multiply
    514,057.50x = 708,131.80 × 437,330.86
  4. Step 4: Simplify right side
    514,057.50x = 309,687,887,863.68
  5. Step 5: Solve for x
    x = 309,687,887,863.68/514,057.50
  6. Step 6: Final answer
    x = 602,438.23

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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.