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Finding the Fourth Proportional to 488,776.80, 733,821.30 and 312,067.20

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Solution

The fourth proportional to 488,776.80, 733,821.30 and 312,067.20 is: 468,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,776.80 : 733,821.30 = 312,067.20 : x
  2. Step 2: Convert to fraction form
    488,776.80/733,821.30 = 312,067.20/x
  3. Step 3: Cross multiply
    488,776.80x = 733,821.30 × 312,067.20
  4. Step 4: Simplify right side
    488,776.80x = 229,001,558,391.36
  5. Step 5: Solve for x
    x = 229,001,558,391.36/488,776.80
  6. Step 6: Final answer
    x = 468,519.70

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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.