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Finding the Fourth Proportional to 361,200.40, 498,451.52 and 208,238.88

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Solution

The fourth proportional to 361,200.40, 498,451.52 and 208,238.88 is: 287,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,200.40 : 498,451.52 = 208,238.88 : x
  2. Step 2: Convert to fraction form
    361,200.40/498,451.52 = 208,238.88/x
  3. Step 3: Cross multiply
    361,200.40x = 498,451.52 × 208,238.88
  4. Step 4: Simplify right side
    361,200.40x = 103,796,986,259.10
  5. Step 5: Solve for x
    x = 103,796,986,259.10/361,200.40
  6. Step 6: Final answer
    x = 287,366.75

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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.