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Finding the Fourth Proportional to 454,384.83, 681,577.25 and 138,839

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Solution

The fourth proportional to 454,384.83, 681,577.25 and 138,839 is: 208,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,384.83 : 681,577.25 = 138,839 : x
  2. Step 2: Convert to fraction form
    454,384.83/681,577.25 = 138,839/x
  3. Step 3: Cross multiply
    454,384.83x = 681,577.25 × 138,839
  4. Step 4: Simplify right side
    454,384.83x = 94,629,503,118.56
  5. Step 5: Solve for x
    x = 94,629,503,118.56/454,384.83
  6. Step 6: Final answer
    x = 208,258.50

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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.