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Finding the Fourth Proportional to 429,531.88, 644,042.58 and 163,311.88

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Solution

The fourth proportional to 429,531.88, 644,042.58 and 163,311.88 is: 244,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,531.88 : 644,042.58 = 163,311.88 : x
  2. Step 2: Convert to fraction form
    429,531.88/644,042.58 = 163,311.88/x
  3. Step 3: Cross multiply
    429,531.88x = 644,042.58 × 163,311.88
  4. Step 4: Simplify right side
    429,531.88x = 105,179,804,539.85
  5. Step 5: Solve for x
    x = 105,179,804,539.85/429,531.88
  6. Step 6: Final answer
    x = 244,870.78

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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.