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Finding the Fourth Proportional to 261,789.78, 361,291.65 and 154,380.74

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Solution

The fourth proportional to 261,789.78, 361,291.65 and 154,380.74 is: 213,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,789.78 : 361,291.65 = 154,380.74 : x
  2. Step 2: Convert to fraction form
    261,789.78/361,291.65 = 154,380.74/x
  3. Step 3: Cross multiply
    261,789.78x = 361,291.65 × 154,380.74
  4. Step 4: Simplify right side
    261,789.78x = 55,776,472,410.13
  5. Step 5: Solve for x
    x = 55,776,472,410.13/261,789.78
  6. Step 6: Final answer
    x = 213,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.