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Finding the Fourth Proportional to 254,963.12, 351,786.12 and 159,422

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Solution

The fourth proportional to 254,963.12, 351,786.12 and 159,422 is: 219,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,963.12 : 351,786.12 = 159,422 : x
  2. Step 2: Convert to fraction form
    254,963.12/351,786.12 = 159,422/x
  3. Step 3: Cross multiply
    254,963.12x = 351,786.12 × 159,422
  4. Step 4: Simplify right side
    254,963.12x = 56,082,446,822.64
  5. Step 5: Solve for x
    x = 56,082,446,822.64/254,963.12
  6. Step 6: Final answer
    x = 219,962.98

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1.5x scale

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.