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Finding the Fourth Proportional to 381,304.65, 526,182.76 and 209,218.33

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Solution

The fourth proportional to 381,304.65, 526,182.76 and 209,218.33 is: 288,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,304.65 : 526,182.76 = 209,218.33 : x
  2. Step 2: Convert to fraction form
    381,304.65/526,182.76 = 209,218.33/x
  3. Step 3: Cross multiply
    381,304.65x = 526,182.76 × 209,218.33
  4. Step 4: Simplify right side
    381,304.65x = 110,087,078,321.99
  5. Step 5: Solve for x
    x = 110,087,078,321.99/381,304.65
  6. Step 6: Final answer
    x = 288,711.61

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1.5x scale

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.