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Finding the Fourth Proportional to 394,151.12, 591,285.08 and 144,813.68

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Solution

The fourth proportional to 394,151.12, 591,285.08 and 144,813.68 is: 217,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,151.12 : 591,285.08 = 144,813.68 : x
  2. Step 2: Convert to fraction form
    394,151.12/591,285.08 = 144,813.68/x
  3. Step 3: Cross multiply
    394,151.12x = 591,285.08 × 144,813.68
  4. Step 4: Simplify right side
    394,151.12x = 85,626,168,363.89
  5. Step 5: Solve for x
    x = 85,626,168,363.89/394,151.12
  6. Step 6: Final answer
    x = 217,241.98

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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.