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Finding the Fourth Proportional to 514,302.12, 709,732.26 and 287,951.40

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Solution

The fourth proportional to 514,302.12, 709,732.26 and 287,951.40 is: 397,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,302.12 : 709,732.26 = 287,951.40 : x
  2. Step 2: Convert to fraction form
    514,302.12/709,732.26 = 287,951.40/x
  3. Step 3: Cross multiply
    514,302.12x = 709,732.26 × 287,951.40
  4. Step 4: Simplify right side
    514,302.12x = 204,368,397,892.16
  5. Step 5: Solve for x
    x = 204,368,397,892.16/514,302.12
  6. Step 6: Final answer
    x = 397,370.32

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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.