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Finding the Fourth Proportional to 475,061, 655,564.98 and 284,179.88

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Solution

The fourth proportional to 475,061, 655,564.98 and 284,179.88 is: 392,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,061 : 655,564.98 = 284,179.88 : x
  2. Step 2: Convert to fraction form
    475,061/655,564.98 = 284,179.88/x
  3. Step 3: Cross multiply
    475,061x = 655,564.98 × 284,179.88
  4. Step 4: Simplify right side
    475,061x = 186,298,377,348.60
  5. Step 5: Solve for x
    x = 186,298,377,348.60/475,061
  6. Step 6: Final answer
    x = 392,156.75

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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.