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Finding the Fourth Proportional to 510,434.16, 704,387.16 and 284,074.80

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Solution

The fourth proportional to 510,434.16, 704,387.16 and 284,074.80 is: 392,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,434.16 : 704,387.16 = 284,074.80 : x
  2. Step 2: Convert to fraction form
    510,434.16/704,387.16 = 284,074.80/x
  3. Step 3: Cross multiply
    510,434.16x = 704,387.16 × 284,074.80
  4. Step 4: Simplify right side
    510,434.16x = 200,098,641,599.57
  5. Step 5: Solve for x
    x = 200,098,641,599.57/510,434.16
  6. Step 6: Final answer
    x = 392,016.56

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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.