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Finding the Fourth Proportional to 521,624.40, 782,695.80 and 206,091.60

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Solution

The fourth proportional to 521,624.40, 782,695.80 and 206,091.60 is: 309,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,624.40 : 782,695.80 = 206,091.60 : x
  2. Step 2: Convert to fraction form
    521,624.40/782,695.80 = 206,091.60/x
  3. Step 3: Cross multiply
    521,624.40x = 782,695.80 × 206,091.60
  4. Step 4: Simplify right side
    521,624.40x = 161,307,029,735.28
  5. Step 5: Solve for x
    x = 161,307,029,735.28/521,624.40
  6. Step 6: Final answer
    x = 309,239.81

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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.