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Finding the Fourth Proportional to 510,732.27, 704,803.68 and 284,377.77

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Solution

The fourth proportional to 510,732.27, 704,803.68 and 284,377.77 is: 392,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,732.27 : 704,803.68 = 284,377.77 : x
  2. Step 2: Convert to fraction form
    510,732.27/704,803.68 = 284,377.77/x
  3. Step 3: Cross multiply
    510,732.27x = 704,803.68 × 284,377.77
  4. Step 4: Simplify right side
    510,732.27x = 200,430,498,806.19
  5. Step 5: Solve for x
    x = 200,430,498,806.19/510,732.27
  6. Step 6: Final answer
    x = 392,437.51

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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.