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Finding the Fourth Proportional to 429,762.20, 644,939.45 and 149,279.45

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Solution

The fourth proportional to 429,762.20, 644,939.45 and 149,279.45 is: 224,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,762.20 : 644,939.45 = 149,279.45 : x
  2. Step 2: Convert to fraction form
    429,762.20/644,939.45 = 149,279.45/x
  3. Step 3: Cross multiply
    429,762.20x = 644,939.45 × 149,279.45
  4. Step 4: Simplify right side
    429,762.20x = 96,276,202,408.21
  5. Step 5: Solve for x
    x = 96,276,202,408.21/429,762.20
  6. Step 6: Final answer
    x = 224,022.04

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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.