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Finding the Fourth Proportional to 306,773.28, 423,316.80 and 179,424

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Solution

The fourth proportional to 306,773.28, 423,316.80 and 179,424 is: 247,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,773.28 : 423,316.80 = 179,424 : x
  2. Step 2: Convert to fraction form
    306,773.28/423,316.80 = 179,424/x
  3. Step 3: Cross multiply
    306,773.28x = 423,316.80 × 179,424
  4. Step 4: Simplify right side
    306,773.28x = 75,953,193,523.20
  5. Step 5: Solve for x
    x = 75,953,193,523.20/306,773.28
  6. Step 6: Final answer
    x = 247,587.38

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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.