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Finding the Fourth Proportional to 652,401.98, 978,368.18 and 225,821.90

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Solution

The fourth proportional to 652,401.98, 978,368.18 and 225,821.90 is: 338,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,401.98 : 978,368.18 = 225,821.90 : x
  2. Step 2: Convert to fraction form
    652,401.98/978,368.18 = 225,821.90/x
  3. Step 3: Cross multiply
    652,401.98x = 978,368.18 × 225,821.90
  4. Step 4: Simplify right side
    652,401.98x = 220,936,955,286.19
  5. Step 5: Solve for x
    x = 220,936,955,286.19/652,401.98
  6. Step 6: Final answer
    x = 338,651.57

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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.