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Finding the Fourth Proportional to 723,129, 997,813.26 and 400,839

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Solution

The fourth proportional to 723,129, 997,813.26 and 400,839 is: 553,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,129 : 997,813.26 = 400,839 : x
  2. Step 2: Convert to fraction form
    723,129/997,813.26 = 400,839/x
  3. Step 3: Cross multiply
    723,129x = 997,813.26 × 400,839
  4. Step 4: Simplify right side
    723,129x = 399,962,469,325.14
  5. Step 5: Solve for x
    x = 399,962,469,325.14/723,129
  6. Step 6: Final answer
    x = 553,099.75

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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.