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Finding the Fourth Proportional to 492,857.42, 680,142.76 and 266,502.38

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Solution

The fourth proportional to 492,857.42, 680,142.76 and 266,502.38 is: 367,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,857.42 : 680,142.76 = 266,502.38 : x
  2. Step 2: Convert to fraction form
    492,857.42/680,142.76 = 266,502.38/x
  3. Step 3: Cross multiply
    492,857.42x = 680,142.76 × 266,502.38
  4. Step 4: Simplify right side
    492,857.42x = 181,259,660,212.80
  5. Step 5: Solve for x
    x = 181,259,660,212.80/492,857.42
  6. Step 6: Final answer
    x = 367,773.02

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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.