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Finding the Fourth Proportional to 287,500, 430,679.54 and 135,488.92

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Solution

The fourth proportional to 287,500, 430,679.54 and 135,488.92 is: 202,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,500 : 430,679.54 = 135,488.92 : x
  2. Step 2: Convert to fraction form
    287,500/430,679.54 = 135,488.92/x
  3. Step 3: Cross multiply
    287,500x = 430,679.54 × 135,488.92
  4. Step 4: Simplify right side
    287,500x = 58,352,305,740.70
  5. Step 5: Solve for x
    x = 58,352,305,740.70/287,500
  6. Step 6: Final answer
    x = 202,964.54

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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.