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Finding the Fourth Proportional to 306,451.28, 458,726.52 and 165,861.20

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Solution

The fourth proportional to 306,451.28, 458,726.52 and 165,861.20 is: 248,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,451.28 : 458,726.52 = 165,861.20 : x
  2. Step 2: Convert to fraction form
    306,451.28/458,726.52 = 165,861.20/x
  3. Step 3: Cross multiply
    306,451.28x = 458,726.52 × 165,861.20
  4. Step 4: Simplify right side
    306,451.28x = 76,084,931,079.02
  5. Step 5: Solve for x
    x = 76,084,931,079.02/306,451.28
  6. Step 6: Final answer
    x = 248,277.41

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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.