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Finding the Fourth Proportional to 498,807.41, 748,321.80 and 143,793.72

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Solution

The fourth proportional to 498,807.41, 748,321.80 and 143,793.72 is: 215,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,807.41 : 748,321.80 = 143,793.72 : x
  2. Step 2: Convert to fraction form
    498,807.41/748,321.80 = 143,793.72/x
  3. Step 3: Cross multiply
    498,807.41x = 748,321.80 × 143,793.72
  4. Step 4: Simplify right side
    498,807.41x = 107,603,975,379.10
  5. Step 5: Solve for x
    x = 107,603,975,379.10/498,807.41
  6. Step 6: Final answer
    x = 215,722.49

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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.