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Finding the Fourth Proportional to 514,041.57, 709,377.28 and 287,687.07

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Solution

The fourth proportional to 514,041.57, 709,377.28 and 287,687.07 is: 397,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,041.57 : 709,377.28 = 287,687.07 : x
  2. Step 2: Convert to fraction form
    514,041.57/709,377.28 = 287,687.07/x
  3. Step 3: Cross multiply
    514,041.57x = 709,377.28 × 287,687.07
  4. Step 4: Simplify right side
    514,041.57x = 204,078,670,488.55
  5. Step 5: Solve for x
    x = 204,078,670,488.55/514,041.57
  6. Step 6: Final answer
    x = 397,008.11

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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.