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Finding the Fourth Proportional to 521,147.52, 781,876.80 and 299,376

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Solution

The fourth proportional to 521,147.52, 781,876.80 and 299,376 is: 449,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,147.52 : 781,876.80 = 299,376 : x
  2. Step 2: Convert to fraction form
    521,147.52/781,876.80 = 299,376/x
  3. Step 3: Cross multiply
    521,147.52x = 781,876.80 × 299,376
  4. Step 4: Simplify right side
    521,147.52x = 234,075,148,876.80
  5. Step 5: Solve for x
    x = 234,075,148,876.80/521,147.52
  6. Step 6: Final answer
    x = 449,153.34

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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.