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Finding the Fourth Proportional to 687,517.56, 948,767 and 381,596.56

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Solution

The fourth proportional to 687,517.56, 948,767 and 381,596.56 is: 526,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,517.56 : 948,767 = 381,596.56 : x
  2. Step 2: Convert to fraction form
    687,517.56/948,767 = 381,596.56/x
  3. Step 3: Cross multiply
    687,517.56x = 948,767 × 381,596.56
  4. Step 4: Simplify right side
    687,517.56x = 362,046,223,441.52
  5. Step 5: Solve for x
    x = 362,046,223,441.52/687,517.56
  6. Step 6: Final answer
    x = 526,599.24

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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.