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Finding the Fourth Proportional to 652,076.28, 978,255.18 and 202,788.36

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Solution

The fourth proportional to 652,076.28, 978,255.18 and 202,788.36 is: 304,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,076.28 : 978,255.18 = 202,788.36 : x
  2. Step 2: Convert to fraction form
    652,076.28/978,255.18 = 202,788.36/x
  3. Step 3: Cross multiply
    652,076.28x = 978,255.18 × 202,788.36
  4. Step 4: Simplify right side
    652,076.28x = 198,378,763,613.71
  5. Step 5: Solve for x
    x = 198,378,763,613.71/652,076.28
  6. Step 6: Final answer
    x = 304,226.31

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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.