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Finding the Fourth Proportional to 652,403.98, 978,371.17 and 225,823.90

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Solution

The fourth proportional to 652,403.98, 978,371.17 and 225,823.90 is: 338,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,403.98 : 978,371.17 = 225,823.90 : x
  2. Step 2: Convert to fraction form
    652,403.98/978,371.17 = 225,823.90/x
  3. Step 3: Cross multiply
    652,403.98x = 978,371.17 × 225,823.90
  4. Step 4: Simplify right side
    652,403.98x = 220,939,593,256.96
  5. Step 5: Solve for x
    x = 220,939,593,256.96/652,403.98
  6. Step 6: Final answer
    x = 338,654.58

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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.