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Finding the Fourth Proportional to 361,344.32, 498,640.48 and 200,206.16

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Solution

The fourth proportional to 361,344.32, 498,640.48 and 200,206.16 is: 276,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,344.32 : 498,640.48 = 200,206.16 : x
  2. Step 2: Convert to fraction form
    361,344.32/498,640.48 = 200,206.16/x
  3. Step 3: Cross multiply
    361,344.32x = 498,640.48 × 200,206.16
  4. Step 4: Simplify right side
    361,344.32x = 99,830,892,727.64
  5. Step 5: Solve for x
    x = 99,830,892,727.64/361,344.32
  6. Step 6: Final answer
    x = 276,276.36

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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.