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Finding the Fourth Proportional to 381,344.64, 526,254.17 and 209,265.50

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Solution

The fourth proportional to 381,344.64, 526,254.17 and 209,265.50 is: 288,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,344.64 : 526,254.17 = 209,265.50 : x
  2. Step 2: Convert to fraction form
    381,344.64/526,254.17 = 209,265.50/x
  3. Step 3: Cross multiply
    381,344.64x = 526,254.17 × 209,265.50
  4. Step 4: Simplify right side
    381,344.64x = 110,126,839,136.26
  5. Step 5: Solve for x
    x = 110,126,839,136.26/381,344.64
  6. Step 6: Final answer
    x = 288,785.60

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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.