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Finding the Fourth Proportional to 392,664.61, 541,862.81 and 239,958.40

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Solution

The fourth proportional to 392,664.61, 541,862.81 and 239,958.40 is: 331,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,664.61 : 541,862.81 = 239,958.40 : x
  2. Step 2: Convert to fraction form
    392,664.61/541,862.81 = 239,958.40/x
  3. Step 3: Cross multiply
    392,664.61x = 541,862.81 × 239,958.40
  4. Step 4: Simplify right side
    392,664.61x = 130,024,533,618.26
  5. Step 5: Solve for x
    x = 130,024,533,618.26/392,664.61
  6. Step 6: Final answer
    x = 331,133.82

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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.