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Finding the Fourth Proportional to 429,617.28, 644,248.53 and 186,473.91

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Solution

The fourth proportional to 429,617.28, 644,248.53 and 186,473.91 is: 279,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,617.28 : 644,248.53 = 186,473.91 : x
  2. Step 2: Convert to fraction form
    429,617.28/644,248.53 = 186,473.91/x
  3. Step 3: Cross multiply
    429,617.28x = 644,248.53 × 186,473.91
  4. Step 4: Simplify right side
    429,617.28x = 120,135,542,400.85
  5. Step 5: Solve for x
    x = 120,135,542,400.85/429,617.28
  6. Step 6: Final answer
    x = 279,633.87

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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.