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Finding the Fourth Proportional to 254,400.85, 381,152.22 and 154,357.89

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Solution

The fourth proportional to 254,400.85, 381,152.22 and 154,357.89 is: 231,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,400.85 : 381,152.22 = 154,357.89 : x
  2. Step 2: Convert to fraction form
    254,400.85/381,152.22 = 154,357.89/x
  3. Step 3: Cross multiply
    254,400.85x = 381,152.22 × 154,357.89
  4. Step 4: Simplify right side
    254,400.85x = 58,833,850,439.85
  5. Step 5: Solve for x
    x = 58,833,850,439.85/254,400.85
  6. Step 6: Final answer
    x = 231,264.36

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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.