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Finding the Fourth Proportional to 428,709.38, 591,576.29 and 247,479.69

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Solution

The fourth proportional to 428,709.38, 591,576.29 and 247,479.69 is: 341,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,709.38 : 591,576.29 = 247,479.69 : x
  2. Step 2: Convert to fraction form
    428,709.38/591,576.29 = 247,479.69/x
  3. Step 3: Cross multiply
    428,709.38x = 591,576.29 × 247,479.69
  4. Step 4: Simplify right side
    428,709.38x = 146,403,117,479.25
  5. Step 5: Solve for x
    x = 146,403,117,479.25/428,709.38
  6. Step 6: Final answer
    x = 341,497.35

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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.