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Finding the Fourth Proportional to 394,254.40, 591,266.40 and 141,505.60

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Solution

The fourth proportional to 394,254.40, 591,266.40 and 141,505.60 is: 212,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,254.40 : 591,266.40 = 141,505.60 : x
  2. Step 2: Convert to fraction form
    394,254.40/591,266.40 = 141,505.60/x
  3. Step 3: Cross multiply
    394,254.40x = 591,266.40 × 141,505.60
  4. Step 4: Simplify right side
    394,254.40x = 83,667,506,691.84
  5. Step 5: Solve for x
    x = 83,667,506,691.84/394,254.40
  6. Step 6: Final answer
    x = 212,217.05

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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.