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Finding the Fourth Proportional to 290,469.38, 400,845.24 and 159,648.71

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Solution

The fourth proportional to 290,469.38, 400,845.24 and 159,648.71 is: 220,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,469.38 : 400,845.24 = 159,648.71 : x
  2. Step 2: Convert to fraction form
    290,469.38/400,845.24 = 159,648.71/x
  3. Step 3: Cross multiply
    290,469.38x = 400,845.24 × 159,648.71
  4. Step 4: Simplify right side
    290,469.38x = 63,994,423,471.41
  5. Step 5: Solve for x
    x = 63,994,423,471.41/290,469.38
  6. Step 6: Final answer
    x = 220,313.84

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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.