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Finding the Fourth Proportional to 394,537.80, 591,806.70 and 145,187.40

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Solution

The fourth proportional to 394,537.80, 591,806.70 and 145,187.40 is: 217,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,537.80 : 591,806.70 = 145,187.40 : x
  2. Step 2: Convert to fraction form
    394,537.80/591,806.70 = 145,187.40/x
  3. Step 3: Cross multiply
    394,537.80x = 591,806.70 × 145,187.40
  4. Step 4: Simplify right side
    394,537.80x = 85,922,876,075.58
  5. Step 5: Solve for x
    x = 85,922,876,075.58/394,537.80
  6. Step 6: Final answer
    x = 217,781.10

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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.