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Finding the Fourth Proportional to 287,135.40, 430,794.90 and 87,493.80

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Solution

The fourth proportional to 287,135.40, 430,794.90 and 87,493.80 is: 131,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,135.40 : 430,794.90 = 87,493.80 : x
  2. Step 2: Convert to fraction form
    287,135.40/430,794.90 = 87,493.80/x
  3. Step 3: Cross multiply
    287,135.40x = 430,794.90 × 87,493.80
  4. Step 4: Simplify right side
    287,135.40x = 37,691,882,821.62
  5. Step 5: Solve for x
    x = 37,691,882,821.62/287,135.40
  6. Step 6: Final answer
    x = 131,268.67

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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.