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Finding the Fourth Proportional to 305,549.75, 458,337.05 and 145,543.43

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Solution

The fourth proportional to 305,549.75, 458,337.05 and 145,543.43 is: 218,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,549.75 : 458,337.05 = 145,543.43 : x
  2. Step 2: Convert to fraction form
    305,549.75/458,337.05 = 145,543.43/x
  3. Step 3: Cross multiply
    305,549.75x = 458,337.05 × 145,543.43
  4. Step 4: Simplify right side
    305,549.75x = 66,707,946,353.08
  5. Step 5: Solve for x
    x = 66,707,946,353.08/305,549.75
  6. Step 6: Final answer
    x = 218,321.06

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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.