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Finding the Fourth Proportional to 329,901, 455,265.81 and 178,998

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Solution

The fourth proportional to 329,901, 455,265.81 and 178,998 is: 247,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,901 : 455,265.81 = 178,998 : x
  2. Step 2: Convert to fraction form
    329,901/455,265.81 = 178,998/x
  3. Step 3: Cross multiply
    329,901x = 455,265.81 × 178,998
  4. Step 4: Simplify right side
    329,901x = 81,491,669,458.38
  5. Step 5: Solve for x
    x = 81,491,669,458.38/329,901
  6. Step 6: Final answer
    x = 247,018.56

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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.