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Finding the Fourth Proportional to 429,637.89, 644,752.68 and 149,155.14

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Solution

The fourth proportional to 429,637.89, 644,752.68 and 149,155.14 is: 223,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,637.89 : 644,752.68 = 149,155.14 : x
  2. Step 2: Convert to fraction form
    429,637.89/644,752.68 = 149,155.14/x
  3. Step 3: Cross multiply
    429,637.89x = 644,752.68 × 149,155.14
  4. Step 4: Simplify right side
    429,637.89x = 96,168,176,250.78
  5. Step 5: Solve for x
    x = 96,168,176,250.78/429,637.89
  6. Step 6: Final answer
    x = 223,835.42

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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.