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Finding the Fourth Proportional to 492,971.04, 680,299.56 and 266,616

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Solution

The fourth proportional to 492,971.04, 680,299.56 and 266,616 is: 367,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,971.04 : 680,299.56 = 266,616 : x
  2. Step 2: Convert to fraction form
    492,971.04/680,299.56 = 266,616/x
  3. Step 3: Cross multiply
    492,971.04x = 680,299.56 × 266,616
  4. Step 4: Simplify right side
    492,971.04x = 181,378,747,488.96
  5. Step 5: Solve for x
    x = 181,378,747,488.96/492,971.04
  6. Step 6: Final answer
    x = 367,929.82

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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.