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Finding the Fourth Proportional to 277,104.81, 382,405.14 and 149,780.52

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Solution

The fourth proportional to 277,104.81, 382,405.14 and 149,780.52 is: 206,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,104.81 : 382,405.14 = 149,780.52 : x
  2. Step 2: Convert to fraction form
    277,104.81/382,405.14 = 149,780.52/x
  3. Step 3: Cross multiply
    277,104.81x = 382,405.14 × 149,780.52
  4. Step 4: Simplify right side
    277,104.81x = 57,276,840,719.87
  5. Step 5: Solve for x
    x = 57,276,840,719.87/277,104.81
  6. Step 6: Final answer
    x = 206,697.39

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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.