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Finding the Fourth Proportional to 723,410.12, 998,317.92 and 401,133.80

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Solution

The fourth proportional to 723,410.12, 998,317.92 and 401,133.80 is: 553,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,410.12 : 998,317.92 = 401,133.80 : x
  2. Step 2: Convert to fraction form
    723,410.12/998,317.92 = 401,133.80/x
  3. Step 3: Cross multiply
    723,410.12x = 998,317.92 × 401,133.80
  4. Step 4: Simplify right side
    723,410.12x = 400,459,060,857.70
  5. Step 5: Solve for x
    x = 400,459,060,857.70/723,410.12
  6. Step 6: Final answer
    x = 553,571.27

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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.