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Finding the Fourth Proportional to 454,437.98, 681,632.17 and 138,894.78

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Solution

The fourth proportional to 454,437.98, 681,632.17 and 138,894.78 is: 208,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,437.98 : 681,632.17 = 138,894.78 : x
  2. Step 2: Convert to fraction form
    454,437.98/681,632.17 = 138,894.78/x
  3. Step 3: Cross multiply
    454,437.98x = 681,632.17 × 138,894.78
  4. Step 4: Simplify right side
    454,437.98x = 94,675,150,293.07
  5. Step 5: Solve for x
    x = 94,675,150,293.07/454,437.98
  6. Step 6: Final answer
    x = 208,334.59

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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.