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Finding the Fourth Proportional to 454,028.16, 681,068.16 and 138,506.88

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Solution

The fourth proportional to 454,028.16, 681,068.16 and 138,506.88 is: 207,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,028.16 : 681,068.16 = 138,506.88 : x
  2. Step 2: Convert to fraction form
    454,028.16/681,068.16 = 138,506.88/x
  3. Step 3: Cross multiply
    454,028.16x = 681,068.16 × 138,506.88
  4. Step 4: Simplify right side
    454,028.16x = 94,332,625,908.94
  5. Step 5: Solve for x
    x = 94,332,625,908.94/454,028.16
  6. Step 6: Final answer
    x = 207,768.23

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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.