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Finding the Fourth Proportional to 397,185.54, 595,591.13 and 144,287.70

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Solution

The fourth proportional to 397,185.54, 595,591.13 and 144,287.70 is: 216,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,185.54 : 595,591.13 = 144,287.70 : x
  2. Step 2: Convert to fraction form
    397,185.54/595,591.13 = 144,287.70/x
  3. Step 3: Cross multiply
    397,185.54x = 595,591.13 × 144,287.70
  4. Step 4: Simplify right side
    397,185.54x = 85,936,474,288.10
  5. Step 5: Solve for x
    x = 85,936,474,288.10/397,185.54
  6. Step 6: Final answer
    x = 216,363.55

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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.