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Finding the Fourth Proportional to 272,695.57, 409,071.29 and 104,357.48

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Solution

The fourth proportional to 272,695.57, 409,071.29 and 104,357.48 is: 156,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,695.57 : 409,071.29 = 104,357.48 : x
  2. Step 2: Convert to fraction form
    272,695.57/409,071.29 = 104,357.48/x
  3. Step 3: Cross multiply
    272,695.57x = 409,071.29 × 104,357.48
  4. Step 4: Simplify right side
    272,695.57x = 42,689,646,397.61
  5. Step 5: Solve for x
    x = 42,689,646,397.61/272,695.57
  6. Step 6: Final answer
    x = 156,546.90

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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.