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Finding the Fourth Proportional to 313,384.82, 432,481.40 and 177,416

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Solution

The fourth proportional to 313,384.82, 432,481.40 and 177,416 is: 244,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,384.82 : 432,481.40 = 177,416 : x
  2. Step 2: Convert to fraction form
    313,384.82/432,481.40 = 177,416/x
  3. Step 3: Cross multiply
    313,384.82x = 432,481.40 × 177,416
  4. Step 4: Simplify right side
    313,384.82x = 76,729,120,062.40
  5. Step 5: Solve for x
    x = 76,729,120,062.40/313,384.82
  6. Step 6: Final answer
    x = 244,839.94

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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.