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Finding the Fourth Proportional to 412,401.60, 617,565.60 and 271,396.80

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Solution

The fourth proportional to 412,401.60, 617,565.60 and 271,396.80 is: 406,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,401.60 : 617,565.60 = 271,396.80 : x
  2. Step 2: Convert to fraction form
    412,401.60/617,565.60 = 271,396.80/x
  3. Step 3: Cross multiply
    412,401.60x = 617,565.60 × 271,396.80
  4. Step 4: Simplify right side
    412,401.60x = 167,605,327,630.08
  5. Step 5: Solve for x
    x = 167,605,327,630.08/412,401.60
  6. Step 6: Final answer
    x = 406,412.89

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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.