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Finding the Fourth Proportional to 285,808.46, 428,338.95 and 117,131.30

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Solution

The fourth proportional to 285,808.46, 428,338.95 and 117,131.30 is: 175,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808.46 : 428,338.95 = 117,131.30 : x
  2. Step 2: Convert to fraction form
    285,808.46/428,338.95 = 117,131.30/x
  3. Step 3: Cross multiply
    285,808.46x = 428,338.95 × 117,131.30
  4. Step 4: Simplify right side
    285,808.46x = 50,171,899,051.24
  5. Step 5: Solve for x
    x = 50,171,899,051.24/285,808.46
  6. Step 6: Final answer
    x = 175,543.78

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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.