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Finding the Fourth Proportional to 290,287.76, 400,569.72 and 162,938.48

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Solution

The fourth proportional to 290,287.76, 400,569.72 and 162,938.48 is: 224,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,287.76 : 400,569.72 = 162,938.48 : x
  2. Step 2: Convert to fraction form
    290,287.76/400,569.72 = 162,938.48/x
  3. Step 3: Cross multiply
    290,287.76x = 400,569.72 × 162,938.48
  4. Step 4: Simplify right side
    290,287.76x = 65,268,221,310.83
  5. Step 5: Solve for x
    x = 65,268,221,310.83/290,287.76
  6. Step 6: Final answer
    x = 224,839.73

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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.