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Finding the Fourth Proportional to 402,876, 555,981.12 and 221,578.56

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Solution

The fourth proportional to 402,876, 555,981.12 and 221,578.56 is: 305,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,876 : 555,981.12 = 221,578.56 : x
  2. Step 2: Convert to fraction form
    402,876/555,981.12 = 221,578.56/x
  3. Step 3: Cross multiply
    402,876x = 555,981.12 × 221,578.56
  4. Step 4: Simplify right side
    402,876x = 123,193,495,956.79
  5. Step 5: Solve for x
    x = 123,193,495,956.79/402,876
  6. Step 6: Final answer
    x = 305,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.