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Finding the Fourth Proportional to 468,350.75, 646,339.70 and 287,027.64

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Solution

The fourth proportional to 468,350.75, 646,339.70 and 287,027.64 is: 396,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,350.75 : 646,339.70 = 287,027.64 : x
  2. Step 2: Convert to fraction form
    468,350.75/646,339.70 = 287,027.64/x
  3. Step 3: Cross multiply
    468,350.75x = 646,339.70 × 287,027.64
  4. Step 4: Simplify right side
    468,350.75x = 185,517,357,294.17
  5. Step 5: Solve for x
    x = 185,517,357,294.17/468,350.75
  6. Step 6: Final answer
    x = 396,107.74

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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.