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Finding the Fourth Proportional to 287,209.80, 430,815.78 and 100,221.30

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Solution

The fourth proportional to 287,209.80, 430,815.78 and 100,221.30 is: 150,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,209.80 : 430,815.78 = 100,221.30 : x
  2. Step 2: Convert to fraction form
    287,209.80/430,815.78 = 100,221.30/x
  3. Step 3: Cross multiply
    287,209.80x = 430,815.78 × 100,221.30
  4. Step 4: Simplify right side
    287,209.80x = 43,176,917,532.11
  5. Step 5: Solve for x
    x = 43,176,917,532.11/287,209.80
  6. Step 6: Final answer
    x = 150,332.33

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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.