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Finding the Fourth Proportional to 709,174.80, 978,788.16 and 422,713.44

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Solution

The fourth proportional to 709,174.80, 978,788.16 and 422,713.44 is: 583,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,174.80 : 978,788.16 = 422,713.44 : x
  2. Step 2: Convert to fraction form
    709,174.80/978,788.16 = 422,713.44/x
  3. Step 3: Cross multiply
    709,174.80x = 978,788.16 × 422,713.44
  4. Step 4: Simplify right side
    709,174.80x = 413,746,910,144.87
  5. Step 5: Solve for x
    x = 413,746,910,144.87/709,174.80
  6. Step 6: Final answer
    x = 583,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.