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Finding the Fourth Proportional to 475,858.38, 656,739.42 and 284,871.72

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Solution

The fourth proportional to 475,858.38, 656,739.42 and 284,871.72 is: 393,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,858.38 : 656,739.42 = 284,871.72 : x
  2. Step 2: Convert to fraction form
    475,858.38/656,739.42 = 284,871.72/x
  3. Step 3: Cross multiply
    475,858.38x = 656,739.42 × 284,871.72
  4. Step 4: Simplify right side
    475,858.38x = 187,086,488,167.20
  5. Step 5: Solve for x
    x = 187,086,488,167.20/475,858.38
  6. Step 6: Final answer
    x = 393,155.81

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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.