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Finding the Fourth Proportional to 368,192, 508,101.78 and 207,043.62

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Solution

The fourth proportional to 368,192, 508,101.78 and 207,043.62 is: 285,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,192 : 508,101.78 = 207,043.62 : x
  2. Step 2: Convert to fraction form
    368,192/508,101.78 = 207,043.62/x
  3. Step 3: Cross multiply
    368,192x = 508,101.78 × 207,043.62
  4. Step 4: Simplify right side
    368,192x = 105,199,231,859.64
  5. Step 5: Solve for x
    x = 105,199,231,859.64/368,192
  6. Step 6: Final answer
    x = 285,718.41

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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.