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Finding the Fourth Proportional to 521,854.92, 782,880.66 and 166,773.60

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Solution

The fourth proportional to 521,854.92, 782,880.66 and 166,773.60 is: 250,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,854.92 : 782,880.66 = 166,773.60 : x
  2. Step 2: Convert to fraction form
    521,854.92/782,880.66 = 166,773.60/x
  3. Step 3: Cross multiply
    521,854.92x = 782,880.66 × 166,773.60
  4. Step 4: Simplify right side
    521,854.92x = 130,563,826,038.58
  5. Step 5: Solve for x
    x = 130,563,826,038.58/521,854.92
  6. Step 6: Final answer
    x = 250,191.81

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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.