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Finding the Fourth Proportional to 492,895.28, 680,195.54 and 266,540.78

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Solution

The fourth proportional to 492,895.28, 680,195.54 and 266,540.78 is: 367,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,895.28 : 680,195.54 = 266,540.78 : x
  2. Step 2: Convert to fraction form
    492,895.28/680,195.54 = 266,540.78/x
  3. Step 3: Cross multiply
    492,895.28x = 680,195.54 × 266,540.78
  4. Step 4: Simplify right side
    492,895.28x = 181,299,849,784.12
  5. Step 5: Solve for x
    x = 181,299,849,784.12/492,895.28
  6. Step 6: Final answer
    x = 367,826.31

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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.