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Finding the Fourth Proportional to 381,541.16, 526,525.50 and 209,454.84

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Solution

The fourth proportional to 381,541.16, 526,525.50 and 209,454.84 is: 289,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,541.16 : 526,525.50 = 209,454.84 : x
  2. Step 2: Convert to fraction form
    381,541.16/526,525.50 = 209,454.84/x
  3. Step 3: Cross multiply
    381,541.16x = 526,525.50 × 209,454.84
  4. Step 4: Simplify right side
    381,541.16x = 110,283,313,042.11
  5. Step 5: Solve for x
    x = 110,283,313,042.11/381,541.16
  6. Step 6: Final answer
    x = 289,046.96

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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.