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Finding the Fourth Proportional to 290,774.34, 401,286.96 and 163,458.14

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Solution

The fourth proportional to 290,774.34, 401,286.96 and 163,458.14 is: 225,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774.34 : 401,286.96 = 163,458.14 : x
  2. Step 2: Convert to fraction form
    290,774.34/401,286.96 = 163,458.14/x
  3. Step 3: Cross multiply
    290,774.34x = 401,286.96 × 163,458.14
  4. Step 4: Simplify right side
    290,774.34x = 65,593,618,081.42
  5. Step 5: Solve for x
    x = 65,593,618,081.42/290,774.34
  6. Step 6: Final answer
    x = 225,582.55

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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.