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Finding the Fourth Proportional to 254,405.78, 381,109.87 and 147,565.29

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Solution

The fourth proportional to 254,405.78, 381,109.87 and 147,565.29 is: 221,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,405.78 : 381,109.87 = 147,565.29 : x
  2. Step 2: Convert to fraction form
    254,405.78/381,109.87 = 147,565.29/x
  3. Step 3: Cross multiply
    254,405.78x = 381,109.87 × 147,565.29
  4. Step 4: Simplify right side
    254,405.78x = 56,238,587,750.59
  5. Step 5: Solve for x
    x = 56,238,587,750.59/254,405.78
  6. Step 6: Final answer
    x = 221,058.61

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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.