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Finding the Fourth Proportional to 290,145.76, 400,429.92 and 162,821.86

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Solution

The fourth proportional to 290,145.76, 400,429.92 and 162,821.86 is: 224,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,145.76 : 400,429.92 = 162,821.86 : x
  2. Step 2: Convert to fraction form
    290,145.76/400,429.92 = 162,821.86/x
  3. Step 3: Cross multiply
    290,145.76x = 400,429.92 × 162,821.86
  4. Step 4: Simplify right side
    290,145.76x = 65,198,744,374.05
  5. Step 5: Solve for x
    x = 65,198,744,374.05/290,145.76
  6. Step 6: Final answer
    x = 224,710.31

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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.