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Finding the Fourth Proportional to 429,909.66, 644,922.81 and 149,390.46

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Solution

The fourth proportional to 429,909.66, 644,922.81 and 149,390.46 is: 224,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,909.66 : 644,922.81 = 149,390.46 : x
  2. Step 2: Convert to fraction form
    429,909.66/644,922.81 = 149,390.46/x
  3. Step 3: Cross multiply
    429,909.66x = 644,922.81 × 149,390.46
  4. Step 4: Simplify right side
    429,909.66x = 96,345,315,250.39
  5. Step 5: Solve for x
    x = 96,345,315,250.39/429,909.66
  6. Step 6: Final answer
    x = 224,105.96

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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.