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Finding the Fourth Proportional to 340,424.44, 510,590.79 and 140,717.12

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Solution

The fourth proportional to 340,424.44, 510,590.79 and 140,717.12 is: 211,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,424.44 : 510,590.79 = 140,717.12 : x
  2. Step 2: Convert to fraction form
    340,424.44/510,590.79 = 140,717.12/x
  3. Step 3: Cross multiply
    340,424.44x = 510,590.79 × 140,717.12
  4. Step 4: Simplify right side
    340,424.44x = 71,848,862,914.37
  5. Step 5: Solve for x
    x = 71,848,862,914.37/340,424.44
  6. Step 6: Final answer
    x = 211,056.71

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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.