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Finding the Fourth Proportional to 295,424.88, 408,207.96 and 218,834.16

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Solution

The fourth proportional to 295,424.88, 408,207.96 and 218,834.16 is: 302,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,424.88 : 408,207.96 = 218,834.16 : x
  2. Step 2: Convert to fraction form
    295,424.88/408,207.96 = 218,834.16/x
  3. Step 3: Cross multiply
    295,424.88x = 408,207.96 × 218,834.16
  4. Step 4: Simplify right side
    295,424.88x = 89,329,846,031.91
  5. Step 5: Solve for x
    x = 89,329,846,031.91/295,424.88
  6. Step 6: Final answer
    x = 302,377.53

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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.