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Finding the Fourth Proportional to 254,546.80, 381,820.20 and 147,821.20

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Solution

The fourth proportional to 254,546.80, 381,820.20 and 147,821.20 is: 221,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,546.80 : 381,820.20 = 147,821.20 : x
  2. Step 2: Convert to fraction form
    254,546.80/381,820.20 = 147,821.20/x
  3. Step 3: Cross multiply
    254,546.80x = 381,820.20 × 147,821.20
  4. Step 4: Simplify right side
    254,546.80x = 56,441,120,148.24
  5. Step 5: Solve for x
    x = 56,441,120,148.24/254,546.80
  6. Step 6: Final answer
    x = 221,731.80

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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.