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Finding the Fourth Proportional to 556,819.65, 768,410.69 and 315,097.83

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Solution

The fourth proportional to 556,819.65, 768,410.69 and 315,097.83 is: 434,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,819.65 : 768,410.69 = 315,097.83 : x
  2. Step 2: Convert to fraction form
    556,819.65/768,410.69 = 315,097.83/x
  3. Step 3: Cross multiply
    556,819.65x = 768,410.69 × 315,097.83
  4. Step 4: Simplify right side
    556,819.65x = 242,124,539,392.31
  5. Step 5: Solve for x
    x = 242,124,539,392.31/556,819.65
  6. Step 6: Final answer
    x = 434,834.76

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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.