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Finding the Fourth Proportional to 475,872.40, 656,758.80 and 284,885.68

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Solution

The fourth proportional to 475,872.40, 656,758.80 and 284,885.68 is: 393,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,872.40 : 656,758.80 = 284,885.68 : x
  2. Step 2: Convert to fraction form
    475,872.40/656,758.80 = 284,885.68/x
  3. Step 3: Cross multiply
    475,872.40x = 656,758.80 × 284,885.68
  4. Step 4: Simplify right side
    475,872.40x = 187,101,177,333.98
  5. Step 5: Solve for x
    x = 187,101,177,333.98/475,872.40
  6. Step 6: Final answer
    x = 393,175.10

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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.