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Finding the Fourth Proportional to 381,335.96, 526,242.17 and 209,256.80

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Solution

The fourth proportional to 381,335.96, 526,242.17 and 209,256.80 is: 288,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,335.96 : 526,242.17 = 209,256.80 : x
  2. Step 2: Convert to fraction form
    381,335.96/526,242.17 = 209,256.80/x
  3. Step 3: Cross multiply
    381,335.96x = 526,242.17 × 209,256.80
  4. Step 4: Simplify right side
    381,335.96x = 110,119,748,841.76
  5. Step 5: Solve for x
    x = 110,119,748,841.76/381,335.96
  6. Step 6: Final answer
    x = 288,773.58

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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.