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Finding the Fourth Proportional to 382,062.29, 572,576.45 and 145,275.80

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Solution

The fourth proportional to 382,062.29, 572,576.45 and 145,275.80 is: 217,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,062.29 : 572,576.45 = 145,275.80 : x
  2. Step 2: Convert to fraction form
    382,062.29/572,576.45 = 145,275.80/x
  3. Step 3: Cross multiply
    382,062.29x = 572,576.45 × 145,275.80
  4. Step 4: Simplify right side
    382,062.29x = 83,181,498,245.65
  5. Step 5: Solve for x
    x = 83,181,498,245.65/382,062.29
  6. Step 6: Final answer
    x = 217,717.11

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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.