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Finding the Fourth Proportional to 553,780.31, 764,217.14 and 299,131.50

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Solution

The fourth proportional to 553,780.31, 764,217.14 and 299,131.50 is: 412,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,780.31 : 764,217.14 = 299,131.50 : x
  2. Step 2: Convert to fraction form
    553,780.31/764,217.14 = 299,131.50/x
  3. Step 3: Cross multiply
    553,780.31x = 764,217.14 × 299,131.50
  4. Step 4: Simplify right side
    553,780.31x = 228,601,419,413.91
  5. Step 5: Solve for x
    x = 228,601,419,413.91/553,780.31
  6. Step 6: Final answer
    x = 412,801.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.