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Finding the Fourth Proportional to 309,128.72, 427,536.78 and 277,286

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Solution

The fourth proportional to 309,128.72, 427,536.78 and 277,286 is: 383,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,128.72 : 427,536.78 = 277,286 : x
  2. Step 2: Convert to fraction form
    309,128.72/427,536.78 = 277,286/x
  3. Step 3: Cross multiply
    309,128.72x = 427,536.78 × 277,286
  4. Step 4: Simplify right side
    309,128.72x = 118,549,963,579.08
  5. Step 5: Solve for x
    x = 118,549,963,579.08/309,128.72
  6. Step 6: Final answer
    x = 383,497.09

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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.