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Finding the Fourth Proportional to 290,763.84, 401,231.52 and 163,414.56

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Solution

The fourth proportional to 290,763.84, 401,231.52 and 163,414.56 is: 225,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,763.84 : 401,231.52 = 163,414.56 : x
  2. Step 2: Convert to fraction form
    290,763.84/401,231.52 = 163,414.56/x
  3. Step 3: Cross multiply
    290,763.84x = 401,231.52 × 163,414.56
  4. Step 4: Simplify right side
    290,763.84x = 65,567,072,298.93
  5. Step 5: Solve for x
    x = 65,567,072,298.93/290,763.84
  6. Step 6: Final answer
    x = 225,499.40

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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.