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Finding the Fourth Proportional to 305,909.89, 459,144.99 and 156,255.10

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Solution

The fourth proportional to 305,909.89, 459,144.99 and 156,255.10 is: 234,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.89 : 459,144.99 = 156,255.10 : x
  2. Step 2: Convert to fraction form
    305,909.89/459,144.99 = 156,255.10/x
  3. Step 3: Cross multiply
    305,909.89x = 459,144.99 × 156,255.10
  4. Step 4: Simplify right side
    305,909.89x = 71,743,745,545.67
  5. Step 5: Solve for x
    x = 71,743,745,545.67/305,909.89
  6. Step 6: Final answer
    x = 234,525.75

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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.