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Finding the Fourth Proportional to 262,468.36, 393,336.53 and 198,373.88

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Solution

The fourth proportional to 262,468.36, 393,336.53 and 198,373.88 is: 297,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,468.36 : 393,336.53 = 198,373.88 : x
  2. Step 2: Convert to fraction form
    262,468.36/393,336.53 = 198,373.88/x
  3. Step 3: Cross multiply
    262,468.36x = 393,336.53 × 198,373.88
  4. Step 4: Simplify right side
    262,468.36x = 78,027,693,601.84
  5. Step 5: Solve for x
    x = 78,027,693,601.84/262,468.36
  6. Step 6: Final answer
    x = 297,284.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.