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Finding the Fourth Proportional to 498,319.90, 747,261.15 and 198,700.90

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Solution

The fourth proportional to 498,319.90, 747,261.15 and 198,700.90 is: 297,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,319.90 : 747,261.15 = 198,700.90 : x
  2. Step 2: Convert to fraction form
    498,319.90/747,261.15 = 198,700.90/x
  3. Step 3: Cross multiply
    498,319.90x = 747,261.15 × 198,700.90
  4. Step 4: Simplify right side
    498,319.90x = 148,481,463,040.04
  5. Step 5: Solve for x
    x = 148,481,463,040.04/498,319.90
  6. Step 6: Final answer
    x = 297,964.15

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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.