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Finding the Fourth Proportional to 394,352.16, 591,790.40 and 145,034.16

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Solution

The fourth proportional to 394,352.16, 591,790.40 and 145,034.16 is: 217,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,352.16 : 591,790.40 = 145,034.16 : x
  2. Step 2: Convert to fraction form
    394,352.16/591,790.40 = 145,034.16/x
  3. Step 3: Cross multiply
    394,352.16x = 591,790.40 × 145,034.16
  4. Step 4: Simplify right side
    394,352.16x = 85,829,823,560.06
  5. Step 5: Solve for x
    x = 85,829,823,560.06/394,352.16
  6. Step 6: Final answer
    x = 217,647.66

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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.