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Finding the Fourth Proportional to 453,049.36, 679,576.20 and 137,509

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Solution

The fourth proportional to 453,049.36, 679,576.20 and 137,509 is: 206,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,049.36 : 679,576.20 = 137,509 : x
  2. Step 2: Convert to fraction form
    453,049.36/679,576.20 = 137,509/x
  3. Step 3: Cross multiply
    453,049.36x = 679,576.20 × 137,509
  4. Step 4: Simplify right side
    453,049.36x = 93,447,843,685.80
  5. Step 5: Solve for x
    x = 93,447,843,685.80/453,049.36
  6. Step 6: Final answer
    x = 206,264.16

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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.