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Finding the Fourth Proportional to 381,304.64, 526,182.78 and 209,218.31

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Solution

The fourth proportional to 381,304.64, 526,182.78 and 209,218.31 is: 288,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,304.64 : 526,182.78 = 209,218.31 : x
  2. Step 2: Convert to fraction form
    381,304.64/526,182.78 = 209,218.31/x
  3. Step 3: Cross multiply
    381,304.64x = 526,182.78 × 209,218.31
  4. Step 4: Simplify right side
    381,304.64x = 110,087,069,351.79
  5. Step 5: Solve for x
    x = 110,087,069,351.79/381,304.64
  6. Step 6: Final answer
    x = 288,711.60

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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.