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Finding the Fourth Proportional to 285,717.68, 394,210.59 and 225,100.16

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Solution

The fourth proportional to 285,717.68, 394,210.59 and 225,100.16 is: 310,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,717.68 : 394,210.59 = 225,100.16 : x
  2. Step 2: Convert to fraction form
    285,717.68/394,210.59 = 225,100.16/x
  3. Step 3: Cross multiply
    285,717.68x = 394,210.59 × 225,100.16
  4. Step 4: Simplify right side
    285,717.68x = 88,736,866,882.69
  5. Step 5: Solve for x
    x = 88,736,866,882.69/285,717.68
  6. Step 6: Final answer
    x = 310,575.34

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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.