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Finding the Fourth Proportional to 277,150, 382,438.40 and 204,591.52

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Solution

The fourth proportional to 277,150, 382,438.40 and 204,591.52 is: 282,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,150 : 382,438.40 = 204,591.52 : x
  2. Step 2: Convert to fraction form
    277,150/382,438.40 = 204,591.52/x
  3. Step 3: Cross multiply
    277,150x = 382,438.40 × 204,591.52
  4. Step 4: Simplify right side
    277,150x = 78,243,653,562.37
  5. Step 5: Solve for x
    x = 78,243,653,562.37/277,150
  6. Step 6: Final answer
    x = 282,315.19

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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.