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Finding the Fourth Proportional to 411,793.65, 617,198.40 and 212,011.20

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Solution

The fourth proportional to 411,793.65, 617,198.40 and 212,011.20 is: 317,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,793.65 : 617,198.40 = 212,011.20 : x
  2. Step 2: Convert to fraction form
    411,793.65/617,198.40 = 212,011.20/x
  3. Step 3: Cross multiply
    411,793.65x = 617,198.40 × 212,011.20
  4. Step 4: Simplify right side
    411,793.65x = 130,852,973,422.08
  5. Step 5: Solve for x
    x = 130,852,973,422.08/411,793.65
  6. Step 6: Final answer
    x = 317,763.46

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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.