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Finding the Fourth Proportional to 381,286.74, 526,186.53 and 209,212.50

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Solution

The fourth proportional to 381,286.74, 526,186.53 and 209,212.50 is: 288,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,286.74 : 526,186.53 = 209,212.50 : x
  2. Step 2: Convert to fraction form
    381,286.74/526,186.53 = 209,212.50/x
  3. Step 3: Cross multiply
    381,286.74x = 526,186.53 × 209,212.50
  4. Step 4: Simplify right side
    381,286.74x = 110,084,799,407.63
  5. Step 5: Solve for x
    x = 110,084,799,407.63/381,286.74
  6. Step 6: Final answer
    x = 288,719.19

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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.