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Finding the Fourth Proportional to 513,872.29, 771,690.53 and 315,358.30

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Solution

The fourth proportional to 513,872.29, 771,690.53 and 315,358.30 is: 473,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,872.29 : 771,690.53 = 315,358.30 : x
  2. Step 2: Convert to fraction form
    513,872.29/771,690.53 = 315,358.30/x
  3. Step 3: Cross multiply
    513,872.29x = 771,690.53 × 315,358.30
  4. Step 4: Simplify right side
    513,872.29x = 243,359,013,666.90
  5. Step 5: Solve for x
    x = 243,359,013,666.90/513,872.29
  6. Step 6: Final answer
    x = 473,578.78

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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.