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Finding the Fourth Proportional to 521,047.68, 781,046.40 and 205,382.40

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Solution

The fourth proportional to 521,047.68, 781,046.40 and 205,382.40 is: 307,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,047.68 : 781,046.40 = 205,382.40 : x
  2. Step 2: Convert to fraction form
    521,047.68/781,046.40 = 205,382.40/x
  3. Step 3: Cross multiply
    521,047.68x = 781,046.40 × 205,382.40
  4. Step 4: Simplify right side
    521,047.68x = 160,413,184,143.36
  5. Step 5: Solve for x
    x = 160,413,184,143.36/521,047.68
  6. Step 6: Final answer
    x = 307,866.61

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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.