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Finding the Fourth Proportional to 287,041.74, 396,166.17 and 166,256.57

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Solution

The fourth proportional to 287,041.74, 396,166.17 and 166,256.57 is: 229,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,041.74 : 396,166.17 = 166,256.57 : x
  2. Step 2: Convert to fraction form
    287,041.74/396,166.17 = 166,256.57/x
  3. Step 3: Cross multiply
    287,041.74x = 396,166.17 × 166,256.57
  4. Step 4: Simplify right side
    287,041.74x = 65,865,226,593.41
  5. Step 5: Solve for x
    x = 65,865,226,593.41/287,041.74
  6. Step 6: Final answer
    x = 229,462.19

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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.