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Finding the Fourth Proportional to 384,099.80, 576,149.70 and 103,645.40

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Solution

The fourth proportional to 384,099.80, 576,149.70 and 103,645.40 is: 155,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,099.80 : 576,149.70 = 103,645.40 : x
  2. Step 2: Convert to fraction form
    384,099.80/576,149.70 = 103,645.40/x
  3. Step 3: Cross multiply
    384,099.80x = 576,149.70 × 103,645.40
  4. Step 4: Simplify right side
    384,099.80x = 59,715,266,116.38
  5. Step 5: Solve for x
    x = 59,715,266,116.38/384,099.80
  6. Step 6: Final answer
    x = 155,468.10

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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.