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Finding the Fourth Proportional to 313,568, 432,728.49 and 177,598.56

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Solution

The fourth proportional to 313,568, 432,728.49 and 177,598.56 is: 245,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,568 : 432,728.49 = 177,598.56 : x
  2. Step 2: Convert to fraction form
    313,568/432,728.49 = 177,598.56/x
  3. Step 3: Cross multiply
    313,568x = 432,728.49 × 177,598.56
  4. Step 4: Simplify right side
    313,568x = 76,851,956,694.97
  5. Step 5: Solve for x
    x = 76,851,956,694.97/313,568
  6. Step 6: Final answer
    x = 245,088.65

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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.