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Finding the Fourth Proportional to 409,658.12, 565,361.88 and 225,932.63

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Solution

The fourth proportional to 409,658.12, 565,361.88 and 225,932.63 is: 311,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658.12 : 565,361.88 = 225,932.63 : x
  2. Step 2: Convert to fraction form
    409,658.12/565,361.88 = 225,932.63/x
  3. Step 3: Cross multiply
    409,658.12x = 565,361.88 × 225,932.63
  4. Step 4: Simplify right side
    409,658.12x = 127,733,697,863.55
  5. Step 5: Solve for x
    x = 127,733,697,863.55/409,658.12
  6. Step 6: Final answer
    x = 311,805.60

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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.