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Finding the Fourth Proportional to 287,424.82, 430,949.49 and 137,660.32

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Solution

The fourth proportional to 287,424.82, 430,949.49 and 137,660.32 is: 206,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,424.82 : 430,949.49 = 137,660.32 : x
  2. Step 2: Convert to fraction form
    287,424.82/430,949.49 = 137,660.32/x
  3. Step 3: Cross multiply
    287,424.82x = 430,949.49 × 137,660.32
  4. Step 4: Simplify right side
    287,424.82x = 59,324,644,697.24
  5. Step 5: Solve for x
    x = 59,324,644,697.24/287,424.82
  6. Step 6: Final answer
    x = 206,400.56

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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.