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Finding the Fourth Proportional to 723,416, 998,326.08 and 401,139.68

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Solution

The fourth proportional to 723,416, 998,326.08 and 401,139.68 is: 553,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,416 : 998,326.08 = 401,139.68 : x
  2. Step 2: Convert to fraction form
    723,416/998,326.08 = 401,139.68/x
  3. Step 3: Cross multiply
    723,416x = 998,326.08 × 401,139.68
  4. Step 4: Simplify right side
    723,416x = 400,468,204,266.85
  5. Step 5: Solve for x
    x = 400,468,204,266.85/723,416
  6. Step 6: Final answer
    x = 553,579.41

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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.