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Finding the Fourth Proportional to 392,852.53, 542,122.15 and 240,146.47

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Solution

The fourth proportional to 392,852.53, 542,122.15 and 240,146.47 is: 331,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,852.53 : 542,122.15 = 240,146.47 : x
  2. Step 2: Convert to fraction form
    392,852.53/542,122.15 = 240,146.47/x
  3. Step 3: Cross multiply
    392,852.53x = 542,122.15 × 240,146.47
  4. Step 4: Simplify right side
    392,852.53x = 130,188,716,719.97
  5. Step 5: Solve for x
    x = 130,188,716,719.97/392,852.53
  6. Step 6: Final answer
    x = 331,393.36

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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.