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Finding the Fourth Proportional to 277,638.72, 383,141.64 and 150,314.40

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Solution

The fourth proportional to 277,638.72, 383,141.64 and 150,314.40 is: 207,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638.72 : 383,141.64 = 150,314.40 : x
  2. Step 2: Convert to fraction form
    277,638.72/383,141.64 = 150,314.40/x
  3. Step 3: Cross multiply
    277,638.72x = 383,141.64 × 150,314.40
  4. Step 4: Simplify right side
    277,638.72x = 57,591,705,731.62
  5. Step 5: Solve for x
    x = 57,591,705,731.62/277,638.72
  6. Step 6: Final answer
    x = 207,433.98

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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.