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Finding the Fourth Proportional to 338,140.78, 466,634.25 and 187,237.78

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Solution

The fourth proportional to 338,140.78, 466,634.25 and 187,237.78 is: 258,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,140.78 : 466,634.25 = 187,237.78 : x
  2. Step 2: Convert to fraction form
    338,140.78/466,634.25 = 187,237.78/x
  3. Step 3: Cross multiply
    338,140.78x = 466,634.25 × 187,237.78
  4. Step 4: Simplify right side
    338,140.78x = 87,371,561,041.97
  5. Step 5: Solve for x
    x = 87,371,561,041.97/338,140.78
  6. Step 6: Final answer
    x = 258,388.12

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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.