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Finding the Fourth Proportional to 475,248.76, 655,843.10 and 284,307

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Solution

The fourth proportional to 475,248.76, 655,843.10 and 284,307 is: 392,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,248.76 : 655,843.10 = 284,307 : x
  2. Step 2: Convert to fraction form
    475,248.76/655,843.10 = 284,307/x
  3. Step 3: Cross multiply
    475,248.76x = 655,843.10 × 284,307
  4. Step 4: Simplify right side
    475,248.76x = 186,460,784,231.70
  5. Step 5: Solve for x
    x = 186,460,784,231.70/475,248.76
  6. Step 6: Final answer
    x = 392,343.55

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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.