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Finding the Fourth Proportional to 277,314.25, 382,693.80 and 149,989.81

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Solution

The fourth proportional to 277,314.25, 382,693.80 and 149,989.81 is: 206,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,314.25 : 382,693.80 = 149,989.81 : x
  2. Step 2: Convert to fraction form
    277,314.25/382,693.80 = 149,989.81/x
  3. Step 3: Cross multiply
    277,314.25x = 382,693.80 × 149,989.81
  4. Step 4: Simplify right side
    277,314.25x = 57,400,170,350.18
  5. Step 5: Solve for x
    x = 57,400,170,350.18/277,314.25
  6. Step 6: Final answer
    x = 206,986.01

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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.