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Finding the Fourth Proportional to 498,115.87, 747,093.61 and 143,049.13

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Solution

The fourth proportional to 498,115.87, 747,093.61 and 143,049.13 is: 214,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,115.87 : 747,093.61 = 143,049.13 : x
  2. Step 2: Convert to fraction form
    498,115.87/747,093.61 = 143,049.13/x
  3. Step 3: Cross multiply
    498,115.87x = 747,093.61 × 143,049.13
  4. Step 4: Simplify right side
    498,115.87x = 106,871,090,939.06
  5. Step 5: Solve for x
    x = 106,871,090,939.06/498,115.87
  6. Step 6: Final answer
    x = 214,550.66

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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.