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Finding the Fourth Proportional to 521,641.44, 782,503.92 and 166,705.92

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Solution

The fourth proportional to 521,641.44, 782,503.92 and 166,705.92 is: 250,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,641.44 : 782,503.92 = 166,705.92 : x
  2. Step 2: Convert to fraction form
    521,641.44/782,503.92 = 166,705.92/x
  3. Step 3: Cross multiply
    521,641.44x = 782,503.92 × 166,705.92
  4. Step 4: Simplify right side
    521,641.44x = 130,448,035,887.21
  5. Step 5: Solve for x
    x = 130,448,035,887.21/521,641.44
  6. Step 6: Final answer
    x = 250,072.23

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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.