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Finding the Fourth Proportional to 485,127.68, 727,640.64 and 130,178.08

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Solution

The fourth proportional to 485,127.68, 727,640.64 and 130,178.08 is: 195,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,127.68 : 727,640.64 = 130,178.08 : x
  2. Step 2: Convert to fraction form
    485,127.68/727,640.64 = 130,178.08/x
  3. Step 3: Cross multiply
    485,127.68x = 727,640.64 × 130,178.08
  4. Step 4: Simplify right side
    485,127.68x = 94,722,861,445.17
  5. Step 5: Solve for x
    x = 94,722,861,445.17/485,127.68
  6. Step 6: Final answer
    x = 195,253.47

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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.