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Finding the Fourth Proportional to 492,970.38, 680,299.12 and 266,615.88

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Solution

The fourth proportional to 492,970.38, 680,299.12 and 266,615.88 is: 367,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,970.38 : 680,299.12 = 266,615.88 : x
  2. Step 2: Convert to fraction form
    492,970.38/680,299.12 = 266,615.88/x
  3. Step 3: Cross multiply
    492,970.38x = 680,299.12 × 266,615.88
  4. Step 4: Simplify right side
    492,970.38x = 181,378,548,542.03
  5. Step 5: Solve for x
    x = 181,378,548,542.03/492,970.38
  6. Step 6: Final answer
    x = 367,929.91

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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.