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Finding the Fourth Proportional to 381,339.34, 526,246.84 and 209,260.18

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Solution

The fourth proportional to 381,339.34, 526,246.84 and 209,260.18 is: 288,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,339.34 : 526,246.84 = 209,260.18 : x
  2. Step 2: Convert to fraction form
    381,339.34/526,246.84 = 209,260.18/x
  3. Step 3: Cross multiply
    381,339.34x = 526,246.84 × 209,260.18
  4. Step 4: Simplify right side
    381,339.34x = 110,122,506,422.08
  5. Step 5: Solve for x
    x = 110,122,506,422.08/381,339.34
  6. Step 6: Final answer
    x = 288,778.25

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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.