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Finding the Fourth Proportional to 254,267.81, 381,401.68 and 198,149.90

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Solution

The fourth proportional to 254,267.81, 381,401.68 and 198,149.90 is: 297,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,267.81 : 381,401.68 = 198,149.90 : x
  2. Step 2: Convert to fraction form
    254,267.81/381,401.68 = 198,149.90/x
  3. Step 3: Cross multiply
    254,267.81x = 381,401.68 × 198,149.90
  4. Step 4: Simplify right side
    254,267.81x = 75,574,704,751.83
  5. Step 5: Solve for x
    x = 75,574,704,751.83/254,267.81
  6. Step 6: Final answer
    x = 297,224.82

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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.