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Finding the Fourth Proportional to 429,765.24, 644,764.50 and 130,233.72

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Solution

The fourth proportional to 429,765.24, 644,764.50 and 130,233.72 is: 195,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,765.24 : 644,764.50 = 130,233.72 : x
  2. Step 2: Convert to fraction form
    429,765.24/644,764.50 = 130,233.72/x
  3. Step 3: Cross multiply
    429,765.24x = 644,764.50 × 130,233.72
  4. Step 4: Simplify right side
    429,765.24x = 83,970,079,358.94
  5. Step 5: Solve for x
    x = 83,970,079,358.94/429,765.24
  6. Step 6: Final answer
    x = 195,385.93

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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.