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Finding the Fourth Proportional to 510,472.75, 766,182.57 and 257,930.61

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Solution

The fourth proportional to 510,472.75, 766,182.57 and 257,930.61 is: 387,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,472.75 : 766,182.57 = 257,930.61 : x
  2. Step 2: Convert to fraction form
    510,472.75/766,182.57 = 257,930.61/x
  3. Step 3: Cross multiply
    510,472.75x = 766,182.57 × 257,930.61
  4. Step 4: Simplify right side
    510,472.75x = 197,621,937,651.47
  5. Step 5: Solve for x
    x = 197,621,937,651.47/510,472.75
  6. Step 6: Final answer
    x = 387,135.14

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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.