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Finding the Fourth Proportional to 285,422.49, 428,161.95 and 105,555.11

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Solution

The fourth proportional to 285,422.49, 428,161.95 and 105,555.11 is: 158,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.49 : 428,161.95 = 105,555.11 : x
  2. Step 2: Convert to fraction form
    285,422.49/428,161.95 = 105,555.11/x
  3. Step 3: Cross multiply
    285,422.49x = 428,161.95 × 105,555.11
  4. Step 4: Simplify right side
    285,422.49x = 45,194,679,589.25
  5. Step 5: Solve for x
    x = 45,194,679,589.25/285,422.49
  6. Step 6: Final answer
    x = 158,343.09

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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.