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Finding the Fourth Proportional to 287,578.10, 431,043.15 and 137,890.10

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Solution

The fourth proportional to 287,578.10, 431,043.15 and 137,890.10 is: 206,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,578.10 : 431,043.15 = 137,890.10 : x
  2. Step 2: Convert to fraction form
    287,578.10/431,043.15 = 137,890.10/x
  3. Step 3: Cross multiply
    287,578.10x = 431,043.15 × 137,890.10
  4. Step 4: Simplify right side
    287,578.10x = 59,436,583,057.82
  5. Step 5: Solve for x
    x = 59,436,583,057.82/287,578.10
  6. Step 6: Final answer
    x = 206,679.80

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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.