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Finding the Fourth Proportional to 290,144.54, 400,428.24 and 162,820.64

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Solution

The fourth proportional to 290,144.54, 400,428.24 and 162,820.64 is: 224,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,144.54 : 400,428.24 = 162,820.64 : x
  2. Step 2: Convert to fraction form
    290,144.54/400,428.24 = 162,820.64/x
  3. Step 3: Cross multiply
    290,144.54x = 400,428.24 × 162,820.64
  4. Step 4: Simplify right side
    290,144.54x = 65,197,982,310.87
  5. Step 5: Solve for x
    x = 65,197,982,310.87/290,144.54
  6. Step 6: Final answer
    x = 224,708.63

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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.