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Finding the Fourth Proportional to 392,282.13, 541,148.54 and 256,395.72

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Solution

The fourth proportional to 392,282.13, 541,148.54 and 256,395.72 is: 353,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,282.13 : 541,148.54 = 256,395.72 : x
  2. Step 2: Convert to fraction form
    392,282.13/541,148.54 = 256,395.72/x
  3. Step 3: Cross multiply
    392,282.13x = 541,148.54 × 256,395.72
  4. Step 4: Simplify right side
    392,282.13x = 138,748,168,258.27
  5. Step 5: Solve for x
    x = 138,748,168,258.27/392,282.13
  6. Step 6: Final answer
    x = 353,694.85

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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.