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Finding the Fourth Proportional to 556,819.62, 768,410.67 and 315,097.80

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Solution

The fourth proportional to 556,819.62, 768,410.67 and 315,097.80 is: 434,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,819.62 : 768,410.67 = 315,097.80 : x
  2. Step 2: Convert to fraction form
    556,819.62/768,410.67 = 315,097.80/x
  3. Step 3: Cross multiply
    556,819.62x = 768,410.67 × 315,097.80
  4. Step 4: Simplify right side
    556,819.62x = 242,124,511,613.53
  5. Step 5: Solve for x
    x = 242,124,511,613.53/556,819.62
  6. Step 6: Final answer
    x = 434,834.73

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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.