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Finding the Fourth Proportional to 313,039.70, 431,994.78 and 177,070.74

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Solution

The fourth proportional to 313,039.70, 431,994.78 and 177,070.74 is: 244,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,039.70 : 431,994.78 = 177,070.74 : x
  2. Step 2: Convert to fraction form
    313,039.70/431,994.78 = 177,070.74/x
  3. Step 3: Cross multiply
    313,039.70x = 431,994.78 × 177,070.74
  4. Step 4: Simplify right side
    313,039.70x = 76,493,635,370.74
  5. Step 5: Solve for x
    x = 76,493,635,370.74/313,039.70
  6. Step 6: Final answer
    x = 244,357.62

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1.5x scale

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.