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Finding the Fourth Proportional to 262,641.12, 394,084.74 and 129,448.74

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Solution

The fourth proportional to 262,641.12, 394,084.74 and 129,448.74 is: 194,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,641.12 : 394,084.74 = 129,448.74 : x
  2. Step 2: Convert to fraction form
    262,641.12/394,084.74 = 129,448.74/x
  3. Step 3: Cross multiply
    262,641.12x = 394,084.74 × 129,448.74
  4. Step 4: Simplify right side
    262,641.12x = 51,013,773,046.23
  5. Step 5: Solve for x
    x = 51,013,773,046.23/262,641.12
  6. Step 6: Final answer
    x = 194,233.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.