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Finding the Fourth Proportional to 492,963.97, 680,290.28 and 266,609.47

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Solution

The fourth proportional to 492,963.97, 680,290.28 and 266,609.47 is: 367,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,963.97 : 680,290.28 = 266,609.47 : x
  2. Step 2: Convert to fraction form
    492,963.97/680,290.28 = 266,609.47/x
  3. Step 3: Cross multiply
    492,963.97x = 680,290.28 × 266,609.47
  4. Step 4: Simplify right side
    492,963.97x = 181,371,829,663.90
  5. Step 5: Solve for x
    x = 181,371,829,663.90/492,963.97
  6. Step 6: Final answer
    x = 367,921.07

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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.