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Finding the Fourth Proportional to 498,121.54, 747,101.88 and 143,054.80

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Solution

The fourth proportional to 498,121.54, 747,101.88 and 143,054.80 is: 214,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,121.54 : 747,101.88 = 143,054.80 : x
  2. Step 2: Convert to fraction form
    498,121.54/747,101.88 = 143,054.80/x
  3. Step 3: Cross multiply
    498,121.54x = 747,101.88 × 143,054.80
  4. Step 4: Simplify right side
    498,121.54x = 106,876,510,023.02
  5. Step 5: Solve for x
    x = 106,876,510,023.02/498,121.54
  6. Step 6: Final answer
    x = 214,559.10

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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.