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Finding the Fourth Proportional to 266,403, 399,728.52 and 116,623.56

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Solution

The fourth proportional to 266,403, 399,728.52 and 116,623.56 is: 174,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,403 : 399,728.52 = 116,623.56 : x
  2. Step 2: Convert to fraction form
    266,403/399,728.52 = 116,623.56/x
  3. Step 3: Cross multiply
    266,403x = 399,728.52 × 116,623.56
  4. Step 4: Simplify right side
    266,403x = 46,617,763,035.93
  5. Step 5: Solve for x
    x = 46,617,763,035.93/266,403
  6. Step 6: Final answer
    x = 174,989.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.