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Finding the Fourth Proportional to 723,561, 998,514.18 and 401,320.44

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Solution

The fourth proportional to 723,561, 998,514.18 and 401,320.44 is: 553,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,561 : 998,514.18 = 401,320.44 : x
  2. Step 2: Convert to fraction form
    723,561/998,514.18 = 401,320.44/x
  3. Step 3: Cross multiply
    723,561x = 998,514.18 × 401,320.44
  4. Step 4: Simplify right side
    723,561x = 400,724,150,063.84
  5. Step 5: Solve for x
    x = 400,724,150,063.84/723,561
  6. Step 6: Final answer
    x = 553,822.21

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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.