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Finding the Fourth Proportional to 470,902.20, 706,337.50 and 204,662.70

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Solution

The fourth proportional to 470,902.20, 706,337.50 and 204,662.70 is: 306,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,902.20 : 706,337.50 = 204,662.70 : x
  2. Step 2: Convert to fraction form
    470,902.20/706,337.50 = 204,662.70/x
  3. Step 3: Cross multiply
    470,902.20x = 706,337.50 × 204,662.70
  4. Step 4: Simplify right side
    470,902.20x = 144,560,939,861.25
  5. Step 5: Solve for x
    x = 144,560,939,861.25/470,902.20
  6. Step 6: Final answer
    x = 306,987.18

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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.