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Finding the Fourth Proportional to 277,138, 382,451 and 149,813.58

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Solution

The fourth proportional to 277,138, 382,451 and 149,813.58 is: 206,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138 : 382,451 = 149,813.58 : x
  2. Step 2: Convert to fraction form
    277,138/382,451 = 149,813.58/x
  3. Step 3: Cross multiply
    277,138x = 382,451 × 149,813.58
  4. Step 4: Simplify right side
    277,138x = 57,296,353,484.58
  5. Step 5: Solve for x
    x = 57,296,353,484.58/277,138
  6. Step 6: Final answer
    x = 206,743.04

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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.