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Finding the Fourth Proportional to 305,449.39, 458,186.43 and 145,443.01

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Solution

The fourth proportional to 305,449.39, 458,186.43 and 145,443.01 is: 218,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,449.39 : 458,186.43 = 145,443.01 : x
  2. Step 2: Convert to fraction form
    305,449.39/458,186.43 = 145,443.01/x
  3. Step 3: Cross multiply
    305,449.39x = 458,186.43 × 145,443.01
  4. Step 4: Simplify right side
    305,449.39x = 66,640,013,520.35
  5. Step 5: Solve for x
    x = 66,640,013,520.35/305,449.39
  6. Step 6: Final answer
    x = 218,170.39

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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.