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Finding the Fourth Proportional to 411,793.20, 617,689.80 and 346,839.30

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Solution

The fourth proportional to 411,793.20, 617,689.80 and 346,839.30 is: 520,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,793.20 : 617,689.80 = 346,839.30 : x
  2. Step 2: Convert to fraction form
    411,793.20/617,689.80 = 346,839.30/x
  3. Step 3: Cross multiply
    411,793.20x = 617,689.80 × 346,839.30
  4. Step 4: Simplify right side
    411,793.20x = 214,239,097,849.14
  5. Step 5: Solve for x
    x = 214,239,097,849.14/411,793.20
  6. Step 6: Final answer
    x = 520,258.95

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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.