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Finding the Fourth Proportional to 723,720, 998,738.44 and 401,435.58

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Solution

The fourth proportional to 723,720, 998,738.44 and 401,435.58 is: 553,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,720 : 998,738.44 = 401,435.58 : x
  2. Step 2: Convert to fraction form
    723,720/998,738.44 = 401,435.58/x
  3. Step 3: Cross multiply
    723,720x = 998,738.44 × 401,435.58
  4. Step 4: Simplify right side
    723,720x = 400,929,144,929.70
  5. Step 5: Solve for x
    x = 400,929,144,929.70/723,720
  6. Step 6: Final answer
    x = 553,983.79

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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.