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Finding the Fourth Proportional to 454,245.84, 681,465.96 and 138,726

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Solution

The fourth proportional to 454,245.84, 681,465.96 and 138,726 is: 208,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,245.84 : 681,465.96 = 138,726 : x
  2. Step 2: Convert to fraction form
    454,245.84/681,465.96 = 138,726/x
  3. Step 3: Cross multiply
    454,245.84x = 681,465.96 × 138,726
  4. Step 4: Simplify right side
    454,245.84x = 94,537,046,766.96
  5. Step 5: Solve for x
    x = 94,537,046,766.96/454,245.84
  6. Step 6: Final answer
    x = 208,118.68

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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.