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Finding the Fourth Proportional to 381,294.06, 526,248.45 and 211,582.86

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Solution

The fourth proportional to 381,294.06, 526,248.45 and 211,582.86 is: 292,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,294.06 : 526,248.45 = 211,582.86 : x
  2. Step 2: Convert to fraction form
    381,294.06/526,248.45 = 211,582.86/x
  3. Step 3: Cross multiply
    381,294.06x = 526,248.45 × 211,582.86
  4. Step 4: Simplify right side
    381,294.06x = 111,345,152,121.57
  5. Step 5: Solve for x
    x = 111,345,152,121.57/381,294.06
  6. Step 6: Final answer
    x = 292,019.11

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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.