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Finding the Fourth Proportional to 514,521.72, 710,061.84 and 299,627.16

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Solution

The fourth proportional to 514,521.72, 710,061.84 and 299,627.16 is: 413,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,521.72 : 710,061.84 = 299,627.16 : x
  2. Step 2: Convert to fraction form
    514,521.72/710,061.84 = 299,627.16/x
  3. Step 3: Cross multiply
    514,521.72x = 710,061.84 × 299,627.16
  4. Step 4: Simplify right side
    514,521.72x = 212,753,812,543.57
  5. Step 5: Solve for x
    x = 212,753,812,543.57/514,521.72
  6. Step 6: Final answer
    x = 413,498.21

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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.