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Finding the Fourth Proportional to 277,800.21, 383,364.32 and 150,475.79

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Solution

The fourth proportional to 277,800.21, 383,364.32 and 150,475.79 is: 207,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800.21 : 383,364.32 = 150,475.79 : x
  2. Step 2: Convert to fraction form
    277,800.21/383,364.32 = 150,475.79/x
  3. Step 3: Cross multiply
    277,800.21x = 383,364.32 × 150,475.79
  4. Step 4: Simplify right side
    277,800.21x = 57,687,049,115.84
  5. Step 5: Solve for x
    x = 57,687,049,115.84/277,800.21
  6. Step 6: Final answer
    x = 207,656.61

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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.