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Finding the Fourth Proportional to 652,107.40, 978,647.10 and 336,401.80

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Solution

The fourth proportional to 652,107.40, 978,647.10 and 336,401.80 is: 504,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,107.40 : 978,647.10 = 336,401.80 : x
  2. Step 2: Convert to fraction form
    652,107.40/978,647.10 = 336,401.80/x
  3. Step 3: Cross multiply
    652,107.40x = 978,647.10 × 336,401.80
  4. Step 4: Simplify right side
    652,107.40x = 329,218,646,004.78
  5. Step 5: Solve for x
    x = 329,218,646,004.78/652,107.40
  6. Step 6: Final answer
    x = 504,853.41

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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.