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Finding the Fourth Proportional to 424,419, 636,493.24 and 140,056.56

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Solution

The fourth proportional to 424,419, 636,493.24 and 140,056.56 is: 210,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,419 : 636,493.24 = 140,056.56 : x
  2. Step 2: Convert to fraction form
    424,419/636,493.24 = 140,056.56/x
  3. Step 3: Cross multiply
    424,419x = 636,493.24 × 140,056.56
  4. Step 4: Simplify right side
    424,419x = 89,145,053,657.65
  5. Step 5: Solve for x
    x = 89,145,053,657.65/424,419
  6. Step 6: Final answer
    x = 210,040.20

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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.