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Finding the Fourth Proportional to 510,712.75, 704,788.50 and 284,363.11

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Solution

The fourth proportional to 510,712.75, 704,788.50 and 284,363.11 is: 392,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,712.75 : 704,788.50 = 284,363.11 : x
  2. Step 2: Convert to fraction form
    510,712.75/704,788.50 = 284,363.11/x
  3. Step 3: Cross multiply
    510,712.75x = 704,788.50 × 284,363.11
  4. Step 4: Simplify right side
    510,712.75x = 200,415,849,752.24
  5. Step 5: Solve for x
    x = 200,415,849,752.24/510,712.75
  6. Step 6: Final answer
    x = 392,423.82

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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.