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Finding the Fourth Proportional to 392,823.32, 542,080.89 and 240,117.21

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Solution

The fourth proportional to 392,823.32, 542,080.89 and 240,117.21 is: 331,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,823.32 : 542,080.89 = 240,117.21 : x
  2. Step 2: Convert to fraction form
    392,823.32/542,080.89 = 240,117.21/x
  3. Step 3: Cross multiply
    392,823.32x = 542,080.89 × 240,117.21
  4. Step 4: Simplify right side
    392,823.32x = 130,162,950,901.12
  5. Step 5: Solve for x
    x = 130,162,950,901.12/392,823.32
  6. Step 6: Final answer
    x = 331,352.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.