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Finding the Fourth Proportional to 287,771.46, 431,287.78 and 137,787

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Solution

The fourth proportional to 287,771.46, 431,287.78 and 137,787 is: 206,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771.46 : 431,287.78 = 137,787 : x
  2. Step 2: Convert to fraction form
    287,771.46/431,287.78 = 137,787/x
  3. Step 3: Cross multiply
    287,771.46x = 431,287.78 × 137,787
  4. Step 4: Simplify right side
    287,771.46x = 59,425,849,342.86
  5. Step 5: Solve for x
    x = 59,425,849,342.86/287,771.46
  6. Step 6: Final answer
    x = 206,503.62

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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.