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Finding the Fourth Proportional to 454,878.64, 681,981 and 217,995.76

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Solution

The fourth proportional to 454,878.64, 681,981 and 217,995.76 is: 326,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,878.64 : 681,981 = 217,995.76 : x
  2. Step 2: Convert to fraction form
    454,878.64/681,981 = 217,995.76/x
  3. Step 3: Cross multiply
    454,878.64x = 681,981 × 217,995.76
  4. Step 4: Simplify right side
    454,878.64x = 148,668,966,400.56
  5. Step 5: Solve for x
    x = 148,668,966,400.56/454,878.64
  6. Step 6: Final answer
    x = 326,832.16

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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.