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Finding the Fourth Proportional to 553,798.13, 764,241.82 and 299,149.31

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Solution

The fourth proportional to 553,798.13, 764,241.82 and 299,149.31 is: 412,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,798.13 : 764,241.82 = 299,149.31 : x
  2. Step 2: Convert to fraction form
    553,798.13/764,241.82 = 299,149.31/x
  3. Step 3: Cross multiply
    553,798.13x = 764,241.82 × 299,149.31
  4. Step 4: Simplify right side
    553,798.13x = 228,622,414,288.88
  5. Step 5: Solve for x
    x = 228,622,414,288.88/553,798.13
  6. Step 6: Final answer
    x = 412,826.27

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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.