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Finding the Fourth Proportional to 429,343.27, 644,310.18 and 148,860.52

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Solution

The fourth proportional to 429,343.27, 644,310.18 and 148,860.52 is: 223,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,343.27 : 644,310.18 = 148,860.52 : x
  2. Step 2: Convert to fraction form
    429,343.27/644,310.18 = 148,860.52/x
  3. Step 3: Cross multiply
    429,343.27x = 644,310.18 × 148,860.52
  4. Step 4: Simplify right side
    429,343.27x = 95,912,348,436.09
  5. Step 5: Solve for x
    x = 95,912,348,436.09/429,343.27
  6. Step 6: Final answer
    x = 223,393.16

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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.