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Finding the Fourth Proportional to 384,860.69, 577,385.63 and 132,144.87

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Solution

The fourth proportional to 384,860.69, 577,385.63 and 132,144.87 is: 198,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,860.69 : 577,385.63 = 132,144.87 : x
  2. Step 2: Convert to fraction form
    384,860.69/577,385.63 = 132,144.87/x
  3. Step 3: Cross multiply
    384,860.69x = 577,385.63 × 132,144.87
  4. Step 4: Simplify right side
    384,860.69x = 76,298,549,016.22
  5. Step 5: Solve for x
    x = 76,298,549,016.22/384,860.69
  6. Step 6: Final answer
    x = 198,249.78

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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.