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Finding the Fourth Proportional to 738,455, 1,019,067.92 and 398,923.28

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Solution

The fourth proportional to 738,455, 1,019,067.92 and 398,923.28 is: 550,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,455 : 1,019,067.92 = 398,923.28 : x
  2. Step 2: Convert to fraction form
    738,455/1,019,067.92 = 398,923.28/x
  3. Step 3: Cross multiply
    738,455x = 1,019,067.92 × 398,923.28
  4. Step 4: Simplify right side
    738,455x = 406,529,917,189.18
  5. Step 5: Solve for x
    x = 406,529,917,189.18/738,455
  6. Step 6: Final answer
    x = 550,514.14

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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.