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Finding the Fourth Proportional to 409,705.20, 613,981.80 and 325,609.20

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Solution

The fourth proportional to 409,705.20, 613,981.80 and 325,609.20 is: 487,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,705.20 : 613,981.80 = 325,609.20 : x
  2. Step 2: Convert to fraction form
    409,705.20/613,981.80 = 325,609.20/x
  3. Step 3: Cross multiply
    409,705.20x = 613,981.80 × 325,609.20
  4. Step 4: Simplify right side
    409,705.20x = 199,918,122,712.56
  5. Step 5: Solve for x
    x = 199,918,122,712.56/409,705.20
  6. Step 6: Final answer
    x = 487,956.03

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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.