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Finding the Fourth Proportional to 392,779.62, 542,011.77 and 231,641.46

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Solution

The fourth proportional to 392,779.62, 542,011.77 and 231,641.46 is: 319,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,779.62 : 542,011.77 = 231,641.46 : x
  2. Step 2: Convert to fraction form
    392,779.62/542,011.77 = 231,641.46/x
  3. Step 3: Cross multiply
    392,779.62x = 542,011.77 × 231,641.46
  4. Step 4: Simplify right side
    392,779.62x = 125,552,397,739.98
  5. Step 5: Solve for x
    x = 125,552,397,739.98/392,779.62
  6. Step 6: Final answer
    x = 319,651.00

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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.