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Finding the Fourth Proportional to 392,780.45, 542,060.24 and 295,813.26

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Solution

The fourth proportional to 392,780.45, 542,060.24 and 295,813.26 is: 408,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,780.45 : 542,060.24 = 295,813.26 : x
  2. Step 2: Convert to fraction form
    392,780.45/542,060.24 = 295,813.26/x
  3. Step 3: Cross multiply
    392,780.45x = 542,060.24 × 295,813.26
  4. Step 4: Simplify right side
    392,780.45x = 160,348,605,231.72
  5. Step 5: Solve for x
    x = 160,348,605,231.72/392,780.45
  6. Step 6: Final answer
    x = 408,239.79

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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.