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Finding the Fourth Proportional to 454,506.36, 681,759.52 and 138,963.24

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Solution

The fourth proportional to 454,506.36, 681,759.52 and 138,963.24 is: 208,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,506.36 : 681,759.52 = 138,963.24 : x
  2. Step 2: Convert to fraction form
    454,506.36/681,759.52 = 138,963.24/x
  3. Step 3: Cross multiply
    454,506.36x = 681,759.52 × 138,963.24
  4. Step 4: Simplify right side
    454,506.36x = 94,739,511,800.04
  5. Step 5: Solve for x
    x = 94,739,511,800.04/454,506.36
  6. Step 6: Final answer
    x = 208,444.85

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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.