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Finding the Fourth Proportional to 290,141.16, 400,292.12 and 189,597.48

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Solution

The fourth proportional to 290,141.16, 400,292.12 and 189,597.48 is: 261,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,141.16 : 400,292.12 = 189,597.48 : x
  2. Step 2: Convert to fraction form
    290,141.16/400,292.12 = 189,597.48/x
  3. Step 3: Cross multiply
    290,141.16x = 400,292.12 × 189,597.48
  4. Step 4: Simplify right side
    290,141.16x = 75,894,377,215.86
  5. Step 5: Solve for x
    x = 75,894,377,215.86/290,141.16
  6. Step 6: Final answer
    x = 261,577.42

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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.