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Finding the Fourth Proportional to 475,247.76, 655,841.72 and 284,306

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Solution

The fourth proportional to 475,247.76, 655,841.72 and 284,306 is: 392,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,247.76 : 655,841.72 = 284,306 : x
  2. Step 2: Convert to fraction form
    475,247.76/655,841.72 = 284,306/x
  3. Step 3: Cross multiply
    475,247.76x = 655,841.72 × 284,306
  4. Step 4: Simplify right side
    475,247.76x = 186,459,736,046.32
  5. Step 5: Solve for x
    x = 186,459,736,046.32/475,247.76
  6. Step 6: Final answer
    x = 392,342.17

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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.