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Finding the Fourth Proportional to 521,050.64, 781,167.67 and 205,743.56

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Solution

The fourth proportional to 521,050.64, 781,167.67 and 205,743.56 is: 308,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,050.64 : 781,167.67 = 205,743.56 : x
  2. Step 2: Convert to fraction form
    521,050.64/781,167.67 = 205,743.56/x
  3. Step 3: Cross multiply
    521,050.64x = 781,167.67 × 205,743.56
  4. Step 4: Simplify right side
    521,050.64x = 160,720,217,382.71
  5. Step 5: Solve for x
    x = 160,720,217,382.71/521,050.64
  6. Step 6: Final answer
    x = 308,454.12

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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.