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Finding the Fourth Proportional to 329,581, 454,821.78 and 178,678

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Solution

The fourth proportional to 329,581, 454,821.78 and 178,678 is: 246,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,581 : 454,821.78 = 178,678 : x
  2. Step 2: Convert to fraction form
    329,581/454,821.78 = 178,678/x
  3. Step 3: Cross multiply
    329,581x = 454,821.78 × 178,678
  4. Step 4: Simplify right side
    329,581x = 81,266,646,006.84
  5. Step 5: Solve for x
    x = 81,266,646,006.84/329,581
  6. Step 6: Final answer
    x = 246,575.64

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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.