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Finding the Fourth Proportional to 325,878.80, 488,672.40 and 148,294.40

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Solution

The fourth proportional to 325,878.80, 488,672.40 and 148,294.40 is: 222,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,878.80 : 488,672.40 = 148,294.40 : x
  2. Step 2: Convert to fraction form
    325,878.80/488,672.40 = 148,294.40/x
  3. Step 3: Cross multiply
    325,878.80x = 488,672.40 × 148,294.40
  4. Step 4: Simplify right side
    325,878.80x = 72,467,380,354.56
  5. Step 5: Solve for x
    x = 72,467,380,354.56/325,878.80
  6. Step 6: Final answer
    x = 222,375.25

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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.