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Finding the Fourth Proportional to 361,565.25, 498,907.67 and 200,420.25

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Solution

The fourth proportional to 361,565.25, 498,907.67 and 200,420.25 is: 276,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,565.25 : 498,907.67 = 200,420.25 : x
  2. Step 2: Convert to fraction form
    361,565.25/498,907.67 = 200,420.25/x
  3. Step 3: Cross multiply
    361,565.25x = 498,907.67 × 200,420.25
  4. Step 4: Simplify right side
    361,565.25x = 99,991,198,946.22
  5. Step 5: Solve for x
    x = 99,991,198,946.22/361,565.25
  6. Step 6: Final answer
    x = 276,550.91

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1.5x scale

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.