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Finding the Fourth Proportional to 311,445.52, 429,346.92 and 221,866

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Solution

The fourth proportional to 311,445.52, 429,346.92 and 221,866 is: 305,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,445.52 : 429,346.92 = 221,866 : x
  2. Step 2: Convert to fraction form
    311,445.52/429,346.92 = 221,866/x
  3. Step 3: Cross multiply
    311,445.52x = 429,346.92 × 221,866
  4. Step 4: Simplify right side
    311,445.52x = 95,257,483,752.72
  5. Step 5: Solve for x
    x = 95,257,483,752.72/311,445.52
  6. Step 6: Final answer
    x = 305,856.01

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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.