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Finding the Fourth Proportional to 394,266.80, 591,400.20 and 144,916.40

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Solution

The fourth proportional to 394,266.80, 591,400.20 and 144,916.40 is: 217,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,266.80 : 591,400.20 = 144,916.40 : x
  2. Step 2: Convert to fraction form
    394,266.80/591,400.20 = 144,916.40/x
  3. Step 3: Cross multiply
    394,266.80x = 591,400.20 × 144,916.40
  4. Step 4: Simplify right side
    394,266.80x = 85,703,587,943.28
  5. Step 5: Solve for x
    x = 85,703,587,943.28/394,266.80
  6. Step 6: Final answer
    x = 217,374.60

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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.