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Finding the Fourth Proportional to 475,892.40, 656,786.40 and 284,905.68

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Solution

The fourth proportional to 475,892.40, 656,786.40 and 284,905.68 is: 393,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,892.40 : 656,786.40 = 284,905.68 : x
  2. Step 2: Convert to fraction form
    475,892.40/656,786.40 = 284,905.68/x
  3. Step 3: Cross multiply
    475,892.40x = 656,786.40 × 284,905.68
  4. Step 4: Simplify right side
    475,892.40x = 187,122,175,906.75
  5. Step 5: Solve for x
    x = 187,122,175,906.75/475,892.40
  6. Step 6: Final answer
    x = 393,202.70

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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.