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Finding the Fourth Proportional to 287,324.57, 396,507.91 and 166,535.92

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Solution

The fourth proportional to 287,324.57, 396,507.91 and 166,535.92 is: 229,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,324.57 : 396,507.91 = 166,535.92 : x
  2. Step 2: Convert to fraction form
    287,324.57/396,507.91 = 166,535.92/x
  3. Step 3: Cross multiply
    287,324.57x = 396,507.91 × 166,535.92
  4. Step 4: Simplify right side
    287,324.57x = 66,032,808,746.45
  5. Step 5: Solve for x
    x = 66,032,808,746.45/287,324.57
  6. Step 6: Final answer
    x = 229,819.57

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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.