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Finding the Fourth Proportional to 521,758.32, 782,599.20 and 166,677

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Solution

The fourth proportional to 521,758.32, 782,599.20 and 166,677 is: 250,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,758.32 : 782,599.20 = 166,677 : x
  2. Step 2: Convert to fraction form
    521,758.32/782,599.20 = 166,677/x
  3. Step 3: Cross multiply
    521,758.32x = 782,599.20 × 166,677
  4. Step 4: Simplify right side
    521,758.32x = 130,441,286,858.40
  5. Step 5: Solve for x
    x = 130,441,286,858.40/521,758.32
  6. Step 6: Final answer
    x = 250,003.27

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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.