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Finding the Fourth Proportional to 488,758.80, 733,794.30 and 312,049.20

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Solution

The fourth proportional to 488,758.80, 733,794.30 and 312,049.20 is: 468,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,758.80 : 733,794.30 = 312,049.20 : x
  2. Step 2: Convert to fraction form
    488,758.80/733,794.30 = 312,049.20/x
  3. Step 3: Cross multiply
    488,758.80x = 733,794.30 × 312,049.20
  4. Step 4: Simplify right side
    488,758.80x = 228,979,924,279.56
  5. Step 5: Solve for x
    x = 228,979,924,279.56/488,758.80
  6. Step 6: Final answer
    x = 468,492.69

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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.