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Finding the Fourth Proportional to 394,459.32, 591,630.66 and 145,083

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Solution

The fourth proportional to 394,459.32, 591,630.66 and 145,083 is: 217,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,459.32 : 591,630.66 = 145,083 : x
  2. Step 2: Convert to fraction form
    394,459.32/591,630.66 = 145,083/x
  3. Step 3: Cross multiply
    394,459.32x = 591,630.66 × 145,083
  4. Step 4: Simplify right side
    394,459.32x = 85,835,551,044.78
  5. Step 5: Solve for x
    x = 85,835,551,044.78/394,459.32
  6. Step 6: Final answer
    x = 217,603.05

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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.