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Finding the Fourth Proportional to 521,654.40, 782,287.20 and 184,564.80

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Solution

The fourth proportional to 521,654.40, 782,287.20 and 184,564.80 is: 276,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,654.40 : 782,287.20 = 184,564.80 : x
  2. Step 2: Convert to fraction form
    521,654.40/782,287.20 = 184,564.80/x
  3. Step 3: Cross multiply
    521,654.40x = 782,287.20 × 184,564.80
  4. Step 4: Simplify right side
    521,654.40x = 144,382,680,610.56
  5. Step 5: Solve for x
    x = 144,382,680,610.56/521,654.40
  6. Step 6: Final answer
    x = 276,778.42

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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.