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Finding the Fourth Proportional to 290,195.83, 400,470.24 and 162,871.42

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Solution

The fourth proportional to 290,195.83, 400,470.24 and 162,871.42 is: 224,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,195.83 : 400,470.24 = 162,871.42 : x
  2. Step 2: Convert to fraction form
    290,195.83/400,470.24 = 162,871.42/x
  3. Step 3: Cross multiply
    290,195.83x = 400,470.24 × 162,871.42
  4. Step 4: Simplify right side
    290,195.83x = 65,225,158,299.62
  5. Step 5: Solve for x
    x = 65,225,158,299.62/290,195.83
  6. Step 6: Final answer
    x = 224,762.56

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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.