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Finding the Fourth Proportional to 723,405.33, 998,355.78 and 401,178.42

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Solution

The fourth proportional to 723,405.33, 998,355.78 and 401,178.42 is: 553,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,405.33 : 998,355.78 = 401,178.42 : x
  2. Step 2: Convert to fraction form
    723,405.33/998,355.78 = 401,178.42/x
  3. Step 3: Cross multiply
    723,405.33x = 998,355.78 × 401,178.42
  4. Step 4: Simplify right side
    723,405.33x = 400,518,794,418.27
  5. Step 5: Solve for x
    x = 400,518,794,418.27/723,405.33
  6. Step 6: Final answer
    x = 553,657.51

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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.