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Finding the Fourth Proportional to 652,162.60, 978,243.90 and 231,383.80

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Solution

The fourth proportional to 652,162.60, 978,243.90 and 231,383.80 is: 347,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,162.60 : 978,243.90 = 231,383.80 : x
  2. Step 2: Convert to fraction form
    652,162.60/978,243.90 = 231,383.80/x
  3. Step 3: Cross multiply
    652,162.60x = 978,243.90 × 231,383.80
  4. Step 4: Simplify right side
    652,162.60x = 226,349,790,908.82
  5. Step 5: Solve for x
    x = 226,349,790,908.82/652,162.60
  6. Step 6: Final answer
    x = 347,075.70

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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.