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Finding the Fourth Proportional to 492,974.52, 680,304.82 and 266,620

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Solution

The fourth proportional to 492,974.52, 680,304.82 and 266,620 is: 367,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,974.52 : 680,304.82 = 266,620 : x
  2. Step 2: Convert to fraction form
    492,974.52/680,304.82 = 266,620/x
  3. Step 3: Cross multiply
    492,974.52x = 680,304.82 × 266,620
  4. Step 4: Simplify right side
    492,974.52x = 181,382,871,108.40
  5. Step 5: Solve for x
    x = 181,382,871,108.40/492,974.52
  6. Step 6: Final answer
    x = 367,935.59

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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.