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Finding the Fourth Proportional to 287,177.92, 430,751.04 and 100,202.56

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Solution

The fourth proportional to 287,177.92, 430,751.04 and 100,202.56 is: 150,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,177.92 : 430,751.04 = 100,202.56 : x
  2. Step 2: Convert to fraction form
    287,177.92/430,751.04 = 100,202.56/x
  3. Step 3: Cross multiply
    287,177.92x = 430,751.04 × 100,202.56
  4. Step 4: Simplify right side
    287,177.92x = 43,162,356,930.66
  5. Step 5: Solve for x
    x = 43,162,356,930.66/287,177.92
  6. Step 6: Final answer
    x = 150,298.31

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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.