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Finding the Fourth Proportional to 429,763.24, 644,761.50 and 130,231.72

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Solution

The fourth proportional to 429,763.24, 644,761.50 and 130,231.72 is: 195,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,763.24 : 644,761.50 = 130,231.72 : x
  2. Step 2: Convert to fraction form
    429,763.24/644,761.50 = 130,231.72/x
  3. Step 3: Cross multiply
    429,763.24x = 644,761.50 × 130,231.72
  4. Step 4: Simplify right side
    429,763.24x = 83,968,399,134.78
  5. Step 5: Solve for x
    x = 83,968,399,134.78/429,763.24
  6. Step 6: Final answer
    x = 195,382.93

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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.