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Finding the Fourth Proportional to 287,569.65, 431,338.78 and 87,889.97

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Solution

The fourth proportional to 287,569.65, 431,338.78 and 87,889.97 is: 131,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,569.65 : 431,338.78 = 87,889.97 : x
  2. Step 2: Convert to fraction form
    287,569.65/431,338.78 = 87,889.97/x
  3. Step 3: Cross multiply
    287,569.65x = 431,338.78 × 87,889.97
  4. Step 4: Simplify right side
    287,569.65x = 37,910,351,135.96
  5. Step 5: Solve for x
    x = 37,910,351,135.96/287,569.65
  6. Step 6: Final answer
    x = 131,830.15

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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.