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Finding the Fourth Proportional to 392,748.60, 542,063.64 and 231,594

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Solution

The fourth proportional to 392,748.60, 542,063.64 and 231,594 is: 319,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,748.60 : 542,063.64 = 231,594 : x
  2. Step 2: Convert to fraction form
    392,748.60/542,063.64 = 231,594/x
  3. Step 3: Cross multiply
    392,748.60x = 542,063.64 × 231,594
  4. Step 4: Simplify right side
    392,748.60x = 125,538,686,642.16
  5. Step 5: Solve for x
    x = 125,538,686,642.16/392,748.60
  6. Step 6: Final answer
    x = 319,641.33

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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.