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Finding the Fourth Proportional to 286,391.46, 427,493.52 and 265,576.08

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Solution

The fourth proportional to 286,391.46, 427,493.52 and 265,576.08 is: 396,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,391.46 : 427,493.52 = 265,576.08 : x
  2. Step 2: Convert to fraction form
    286,391.46/427,493.52 = 265,576.08/x
  3. Step 3: Cross multiply
    286,391.46x = 427,493.52 × 265,576.08
  4. Step 4: Simplify right side
    286,391.46x = 113,532,053,267.00
  5. Step 5: Solve for x
    x = 113,532,053,267.00/286,391.46
  6. Step 6: Final answer
    x = 396,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.