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Finding the Fourth Proportional to 219,031.20, 328,546.80 and 196,912.80

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Solution

The fourth proportional to 219,031.20, 328,546.80 and 196,912.80 is: 295,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,031.20 : 328,546.80 = 196,912.80 : x
  2. Step 2: Convert to fraction form
    219,031.20/328,546.80 = 196,912.80/x
  3. Step 3: Cross multiply
    219,031.20x = 328,546.80 × 196,912.80
  4. Step 4: Simplify right side
    219,031.20x = 64,695,070,319.04
  5. Step 5: Solve for x
    x = 64,695,070,319.04/219,031.20
  6. Step 6: Final answer
    x = 295,369.20

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1.5x scale

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.