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Finding the Fourth Proportional to 286,010.10, 394,596.17 and 163,414.51

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Solution

The fourth proportional to 286,010.10, 394,596.17 and 163,414.51 is: 225,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,010.10 : 394,596.17 = 163,414.51 : x
  2. Step 2: Convert to fraction form
    286,010.10/394,596.17 = 163,414.51/x
  3. Step 3: Cross multiply
    286,010.10x = 394,596.17 × 163,414.51
  4. Step 4: Simplify right side
    286,010.10x = 64,482,739,768.43
  5. Step 5: Solve for x
    x = 64,482,739,768.43/286,010.10
  6. Step 6: Final answer
    x = 225,456.16

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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.