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Finding the Fourth Proportional to 286,517.76, 428,583.24 and 265,260.12

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Solution

The fourth proportional to 286,517.76, 428,583.24 and 265,260.12 is: 396,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.76 : 428,583.24 = 265,260.12 : x
  2. Step 2: Convert to fraction form
    286,517.76/428,583.24 = 265,260.12/x
  3. Step 3: Cross multiply
    286,517.76x = 428,583.24 × 265,260.12
  4. Step 4: Simplify right side
    286,517.76x = 113,686,041,672.39
  5. Step 5: Solve for x
    x = 113,686,041,672.39/286,517.76
  6. Step 6: Final answer
    x = 396,785.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.