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Finding the Fourth Proportional to 285,663.60, 428,322.60 and 127,862.64

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Solution

The fourth proportional to 285,663.60, 428,322.60 and 127,862.64 is: 191,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,663.60 : 428,322.60 = 127,862.64 : x
  2. Step 2: Convert to fraction form
    285,663.60/428,322.60 = 127,862.64/x
  3. Step 3: Cross multiply
    285,663.60x = 428,322.60 × 127,862.64
  4. Step 4: Simplify right side
    285,663.60x = 54,766,458,407.66
  5. Step 5: Solve for x
    x = 54,766,458,407.66/285,663.60
  6. Step 6: Final answer
    x = 191,716.61

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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.