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Finding the Fourth Proportional to 381,434.79, 526,404.65 and 211,668.92

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Solution

The fourth proportional to 381,434.79, 526,404.65 and 211,668.92 is: 292,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,434.79 : 526,404.65 = 211,668.92 : x
  2. Step 2: Convert to fraction form
    381,434.79/526,404.65 = 211,668.92/x
  3. Step 3: Cross multiply
    381,434.79x = 526,404.65 × 211,668.92
  4. Step 4: Simplify right side
    381,434.79x = 111,423,503,748.48
  5. Step 5: Solve for x
    x = 111,423,503,748.48/381,434.79
  6. Step 6: Final answer
    x = 292,116.78

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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.