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Finding the Fourth Proportional to 427,082.78, 640,860.62 and 255,883.78

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Solution

The fourth proportional to 427,082.78, 640,860.62 and 255,883.78 is: 383,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,082.78 : 640,860.62 = 255,883.78 : x
  2. Step 2: Convert to fraction form
    427,082.78/640,860.62 = 255,883.78/x
  3. Step 3: Cross multiply
    427,082.78x = 640,860.62 × 255,883.78
  4. Step 4: Simplify right side
    427,082.78x = 163,985,839,579.42
  5. Step 5: Solve for x
    x = 163,985,839,579.42/427,082.78
  6. Step 6: Final answer
    x = 383,967.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.