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Finding the Fourth Proportional to 429,778.71, 644,964.21 and 149,295.96

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Solution

The fourth proportional to 429,778.71, 644,964.21 and 149,295.96 is: 224,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,778.71 : 644,964.21 = 149,295.96 : x
  2. Step 2: Convert to fraction form
    429,778.71/644,964.21 = 149,295.96/x
  3. Step 3: Cross multiply
    429,778.71x = 644,964.21 × 149,295.96
  4. Step 4: Simplify right side
    429,778.71x = 96,290,550,897.59
  5. Step 5: Solve for x
    x = 96,290,550,897.59/429,778.71
  6. Step 6: Final answer
    x = 224,046.81

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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.