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Finding the Fourth Proportional to 285,401.70, 428,123.07 and 98,410.50

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Solution

The fourth proportional to 285,401.70, 428,123.07 and 98,410.50 is: 147,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,401.70 : 428,123.07 = 98,410.50 : x
  2. Step 2: Convert to fraction form
    285,401.70/428,123.07 = 98,410.50/x
  3. Step 3: Cross multiply
    285,401.70x = 428,123.07 × 98,410.50
  4. Step 4: Simplify right side
    285,401.70x = 42,131,805,380.24
  5. Step 5: Solve for x
    x = 42,131,805,380.24/285,401.70
  6. Step 6: Final answer
    x = 147,622.83

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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.