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Finding the Fourth Proportional to 521,558.48, 782,298.84 and 166,610

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Solution

The fourth proportional to 521,558.48, 782,298.84 and 166,610 is: 249,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,558.48 : 782,298.84 = 166,610 : x
  2. Step 2: Convert to fraction form
    521,558.48/782,298.84 = 166,610/x
  3. Step 3: Cross multiply
    521,558.48x = 782,298.84 × 166,610
  4. Step 4: Simplify right side
    521,558.48x = 130,338,809,732.40
  5. Step 5: Solve for x
    x = 130,338,809,732.40/521,558.48
  6. Step 6: Final answer
    x = 249,902.58

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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.