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Finding the Fourth Proportional to 321,509.76, 443,367.92 and 296,082.24

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Solution

The fourth proportional to 321,509.76, 443,367.92 and 296,082.24 is: 408,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,509.76 : 443,367.92 = 296,082.24 : x
  2. Step 2: Convert to fraction form
    321,509.76/443,367.92 = 296,082.24/x
  3. Step 3: Cross multiply
    321,509.76x = 443,367.92 × 296,082.24
  4. Step 4: Simplify right side
    321,509.76x = 131,273,366,897.74
  5. Step 5: Solve for x
    x = 131,273,366,897.74/321,509.76
  6. Step 6: Final answer
    x = 408,302.90

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1.5x scale

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.