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Finding the Fourth Proportional to 321,306.90, 481,960.35 and 188,337.30

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Solution

The fourth proportional to 321,306.90, 481,960.35 and 188,337.30 is: 282,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,306.90 : 481,960.35 = 188,337.30 : x
  2. Step 2: Convert to fraction form
    321,306.90/481,960.35 = 188,337.30/x
  3. Step 3: Cross multiply
    321,306.90x = 481,960.35 × 188,337.30
  4. Step 4: Simplify right side
    321,306.90x = 90,771,111,026.06
  5. Step 5: Solve for x
    x = 90,771,111,026.06/321,306.90
  6. Step 6: Final answer
    x = 282,505.95

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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.