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Finding the Fourth Proportional to 381,827.72, 526,891.42 and 220,693.21

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Solution

The fourth proportional to 381,827.72, 526,891.42 and 220,693.21 is: 304,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,827.72 : 526,891.42 = 220,693.21 : x
  2. Step 2: Convert to fraction form
    381,827.72/526,891.42 = 220,693.21/x
  3. Step 3: Cross multiply
    381,827.72x = 526,891.42 × 220,693.21
  4. Step 4: Simplify right side
    381,827.72x = 116,281,358,801.26
  5. Step 5: Solve for x
    x = 116,281,358,801.26/381,827.72
  6. Step 6: Final answer
    x = 304,538.81

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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.