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Finding the Fourth Proportional to 290,505.72, 400,919.40 and 163,188.84

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Solution

The fourth proportional to 290,505.72, 400,919.40 and 163,188.84 is: 225,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,505.72 : 400,919.40 = 163,188.84 : x
  2. Step 2: Convert to fraction form
    290,505.72/400,919.40 = 163,188.84/x
  3. Step 3: Cross multiply
    290,505.72x = 400,919.40 × 163,188.84
  4. Step 4: Simplify right side
    290,505.72x = 65,425,571,819.50
  5. Step 5: Solve for x
    x = 65,425,571,819.50/290,505.72
  6. Step 6: Final answer
    x = 225,212.68

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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.