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Finding the Fourth Proportional to 381,217.96, 526,079.10 and 217,871.74

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Solution

The fourth proportional to 381,217.96, 526,079.10 and 217,871.74 is: 300,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,217.96 : 526,079.10 = 217,871.74 : x
  2. Step 2: Convert to fraction form
    381,217.96/526,079.10 = 217,871.74/x
  3. Step 3: Cross multiply
    381,217.96x = 526,079.10 × 217,871.74
  4. Step 4: Simplify right side
    381,217.96x = 114,617,768,894.63
  5. Step 5: Solve for x
    x = 114,617,768,894.63/381,217.96
  6. Step 6: Final answer
    x = 300,662.04

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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.