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Finding the Fourth Proportional to 438,151.30, 656,708.55 and 185,431.30

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Solution

The fourth proportional to 438,151.30, 656,708.55 and 185,431.30 is: 277,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,151.30 : 656,708.55 = 185,431.30 : x
  2. Step 2: Convert to fraction form
    438,151.30/656,708.55 = 185,431.30/x
  3. Step 3: Cross multiply
    438,151.30x = 656,708.55 × 185,431.30
  4. Step 4: Simplify right side
    438,151.30x = 121,774,320,147.62
  5. Step 5: Solve for x
    x = 121,774,320,147.62/438,151.30
  6. Step 6: Final answer
    x = 277,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.