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Finding the Fourth Proportional to 228,753.28, 342,663.12 and 117,712

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Solution

The fourth proportional to 228,753.28, 342,663.12 and 117,712 is: 176,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,753.28 : 342,663.12 = 117,712 : x
  2. Step 2: Convert to fraction form
    228,753.28/342,663.12 = 117,712/x
  3. Step 3: Cross multiply
    228,753.28x = 342,663.12 × 117,712
  4. Step 4: Simplify right side
    228,753.28x = 40,335,561,181.44
  5. Step 5: Solve for x
    x = 40,335,561,181.44/228,753.28
  6. Step 6: Final answer
    x = 176,327.79

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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.