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Finding the Fourth Proportional to 429,339.40, 644,011.32 and 251,721.85

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Solution

The fourth proportional to 429,339.40, 644,011.32 and 251,721.85 is: 377,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,339.40 : 644,011.32 = 251,721.85 : x
  2. Step 2: Convert to fraction form
    429,339.40/644,011.32 = 251,721.85/x
  3. Step 3: Cross multiply
    429,339.40x = 644,011.32 × 251,721.85
  4. Step 4: Simplify right side
    429,339.40x = 162,111,720,891.34
  5. Step 5: Solve for x
    x = 162,111,720,891.34/429,339.40
  6. Step 6: Final answer
    x = 377,584.08

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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.