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Finding the Fourth Proportional to 290,244.78, 400,534.47 and 162,917.10

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Solution

The fourth proportional to 290,244.78, 400,534.47 and 162,917.10 is: 224,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,244.78 : 400,534.47 = 162,917.10 : x
  2. Step 2: Convert to fraction form
    290,244.78/400,534.47 = 162,917.10/x
  3. Step 3: Cross multiply
    290,244.78x = 400,534.47 × 162,917.10
  4. Step 4: Simplify right side
    290,244.78x = 65,253,914,302.44
  5. Step 5: Solve for x
    x = 65,253,914,302.44/290,244.78
  6. Step 6: Final answer
    x = 224,823.73

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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.