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Finding the Fourth Proportional to 290,152.92, 400,308.36 and 189,609.24

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Solution

The fourth proportional to 290,152.92, 400,308.36 and 189,609.24 is: 261,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,152.92 : 400,308.36 = 189,609.24 : x
  2. Step 2: Convert to fraction form
    290,152.92/400,308.36 = 189,609.24/x
  3. Step 3: Cross multiply
    290,152.92x = 400,308.36 × 189,609.24
  4. Step 4: Simplify right side
    290,152.92x = 75,902,163,905.25
  5. Step 5: Solve for x
    x = 75,902,163,905.25/290,152.92
  6. Step 6: Final answer
    x = 261,593.66

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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.