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Finding the Fourth Proportional to 429,978.40, 644,933.04 and 149,454.88

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Solution

The fourth proportional to 429,978.40, 644,933.04 and 149,454.88 is: 224,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,978.40 : 644,933.04 = 149,454.88 : x
  2. Step 2: Convert to fraction form
    429,978.40/644,933.04 = 149,454.88/x
  3. Step 3: Cross multiply
    429,978.40x = 644,933.04 × 149,454.88
  4. Step 4: Simplify right side
    429,978.40x = 96,388,390,101.24
  5. Step 5: Solve for x
    x = 96,388,390,101.24/429,978.40
  6. Step 6: Final answer
    x = 224,170.31

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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.