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Finding the Fourth Proportional to 413,612.44, 620,949.96 and 318,902.78

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Solution

The fourth proportional to 413,612.44, 620,949.96 and 318,902.78 is: 478,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,612.44 : 620,949.96 = 318,902.78 : x
  2. Step 2: Convert to fraction form
    413,612.44/620,949.96 = 318,902.78/x
  3. Step 3: Cross multiply
    413,612.44x = 620,949.96 × 318,902.78
  4. Step 4: Simplify right side
    413,612.44x = 198,022,668,484.89
  5. Step 5: Solve for x
    x = 198,022,668,484.89/413,612.44
  6. Step 6: Final answer
    x = 478,763.81

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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.