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Finding the Fourth Proportional to 471,207.78, 650,218.19 and 280,184.27

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Solution

The fourth proportional to 471,207.78, 650,218.19 and 280,184.27 is: 386,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,207.78 : 650,218.19 = 280,184.27 : x
  2. Step 2: Convert to fraction form
    471,207.78/650,218.19 = 280,184.27/x
  3. Step 3: Cross multiply
    471,207.78x = 650,218.19 × 280,184.27
  4. Step 4: Simplify right side
    471,207.78x = 182,180,904,253.86
  5. Step 5: Solve for x
    x = 182,180,904,253.86/471,207.78
  6. Step 6: Final answer
    x = 386,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.