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Finding the Fourth Proportional to 340,602.78, 470,046.36 and 189,699.78

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Solution

The fourth proportional to 340,602.78, 470,046.36 and 189,699.78 is: 261,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,602.78 : 470,046.36 = 189,699.78 : x
  2. Step 2: Convert to fraction form
    340,602.78/470,046.36 = 189,699.78/x
  3. Step 3: Cross multiply
    340,602.78x = 470,046.36 × 189,699.78
  4. Step 4: Simplify right side
    340,602.78x = 89,167,691,081.80
  5. Step 5: Solve for x
    x = 89,167,691,081.80/340,602.78
  6. Step 6: Final answer
    x = 261,793.79

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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.