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Finding the Fourth Proportional to 340,902.56, 470,436.88 and 187,937.21

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Solution

The fourth proportional to 340,902.56, 470,436.88 and 187,937.21 is: 259,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,902.56 : 470,436.88 = 187,937.21 : x
  2. Step 2: Convert to fraction form
    340,902.56/470,436.88 = 187,937.21/x
  3. Step 3: Cross multiply
    340,902.56x = 470,436.88 × 187,937.21
  4. Step 4: Simplify right side
    340,902.56x = 88,412,595,766.94
  5. Step 5: Solve for x
    x = 88,412,595,766.94/340,902.56
  6. Step 6: Final answer
    x = 259,348.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.