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Finding the Fourth Proportional to 361,565.10, 498,907.44 and 200,420.10

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Solution

The fourth proportional to 361,565.10, 498,907.44 and 200,420.10 is: 276,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,565.10 : 498,907.44 = 200,420.10 : x
  2. Step 2: Convert to fraction form
    361,565.10/498,907.44 = 200,420.10/x
  3. Step 3: Cross multiply
    361,565.10x = 498,907.44 × 200,420.10
  4. Step 4: Simplify right side
    361,565.10x = 99,991,079,015.54
  5. Step 5: Solve for x
    x = 99,991,079,015.54/361,565.10
  6. Step 6: Final answer
    x = 276,550.69

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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.