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Finding the Fourth Proportional to 678,204, 1,017,306 and 234,972

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Solution

The fourth proportional to 678,204, 1,017,306 and 234,972 is: 352,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,204 : 1,017,306 = 234,972 : x
  2. Step 2: Convert to fraction form
    678,204/1,017,306 = 234,972/x
  3. Step 3: Cross multiply
    678,204x = 1,017,306 × 234,972
  4. Step 4: Simplify right side
    678,204x = 239,038,425,432
  5. Step 5: Solve for x
    x = 239,038,425,432/678,204
  6. Step 6: Final answer
    x = 352,458

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.