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Finding the Fourth Proportional to 453,098.49, 679,603.86 and 137,558.13

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Solution

The fourth proportional to 453,098.49, 679,603.86 and 137,558.13 is: 206,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,098.49 : 679,603.86 = 137,558.13 : x
  2. Step 2: Convert to fraction form
    453,098.49/679,603.86 = 137,558.13/x
  3. Step 3: Cross multiply
    453,098.49x = 679,603.86 × 137,558.13
  4. Step 4: Simplify right side
    453,098.49x = 93,485,036,122.38
  5. Step 5: Solve for x
    x = 93,485,036,122.38/453,098.49
  6. Step 6: Final answer
    x = 206,323.87

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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.