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Finding the Fourth Proportional to 329,581.50, 454,822.47 and 178,678.50

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Solution

The fourth proportional to 329,581.50, 454,822.47 and 178,678.50 is: 246,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,581.50 : 454,822.47 = 178,678.50 : x
  2. Step 2: Convert to fraction form
    329,581.50/454,822.47 = 178,678.50/x
  3. Step 3: Cross multiply
    329,581.50x = 454,822.47 × 178,678.50
  4. Step 4: Simplify right side
    329,581.50x = 81,266,996,705.90
  5. Step 5: Solve for x
    x = 81,266,996,705.90/329,581.50
  6. Step 6: Final answer
    x = 246,576.33

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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.