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Finding the Fourth Proportional to 288,794.90, 398,376.94 and 167,922.84

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Solution

The fourth proportional to 288,794.90, 398,376.94 and 167,922.84 is: 231,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,794.90 : 398,376.94 = 167,922.84 : x
  2. Step 2: Convert to fraction form
    288,794.90/398,376.94 = 167,922.84/x
  3. Step 3: Cross multiply
    288,794.90x = 398,376.94 × 167,922.84
  4. Step 4: Simplify right side
    288,794.90x = 66,896,587,155.31
  5. Step 5: Solve for x
    x = 66,896,587,155.31/288,794.90
  6. Step 6: Final answer
    x = 231,640.47

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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.