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Finding the Fourth Proportional to 429,780.96, 644,967.59 and 149,298.21

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Solution

The fourth proportional to 429,780.96, 644,967.59 and 149,298.21 is: 224,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,780.96 : 644,967.59 = 149,298.21 : x
  2. Step 2: Convert to fraction form
    429,780.96/644,967.59 = 149,298.21/x
  3. Step 3: Cross multiply
    429,780.96x = 644,967.59 × 149,298.21
  4. Step 4: Simplify right side
    429,780.96x = 96,292,505,948.52
  5. Step 5: Solve for x
    x = 96,292,505,948.52/429,780.96
  6. Step 6: Final answer
    x = 224,050.19

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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.