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Finding the Fourth Proportional to 503,760.68, 695,007.14 and 285,843.16

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Solution

The fourth proportional to 503,760.68, 695,007.14 and 285,843.16 is: 394,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,760.68 : 695,007.14 = 285,843.16 : x
  2. Step 2: Convert to fraction form
    503,760.68/695,007.14 = 285,843.16/x
  3. Step 3: Cross multiply
    503,760.68x = 695,007.14 × 285,843.16
  4. Step 4: Simplify right side
    503,760.68x = 198,663,037,120.16
  5. Step 5: Solve for x
    x = 198,663,037,120.16/503,760.68
  6. Step 6: Final answer
    x = 394,359.95

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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.