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Finding the Fourth Proportional to 553,834.69, 764,292.56 and 299,185.88

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Solution

The fourth proportional to 553,834.69, 764,292.56 and 299,185.88 is: 412,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,834.69 : 764,292.56 = 299,185.88 : x
  2. Step 2: Convert to fraction form
    553,834.69/764,292.56 = 299,185.88/x
  3. Step 3: Cross multiply
    553,834.69x = 764,292.56 × 299,185.88
  4. Step 4: Simplify right side
    553,834.69x = 228,665,542,141.05
  5. Step 5: Solve for x
    x = 228,665,542,141.05/553,834.69
  6. Step 6: Final answer
    x = 412,876.89

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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.