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Finding the Fourth Proportional to 923,967, 1,275,074.46 and 500,031

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Solution

The fourth proportional to 923,967, 1,275,074.46 and 500,031 is: 690,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,967 : 1,275,074.46 = 500,031 : x
  2. Step 2: Convert to fraction form
    923,967/1,275,074.46 = 500,031/x
  3. Step 3: Cross multiply
    923,967x = 1,275,074.46 × 500,031
  4. Step 4: Simplify right side
    923,967x = 637,576,757,308.26
  5. Step 5: Solve for x
    x = 637,576,757,308.26/923,967
  6. Step 6: Final answer
    x = 690,042.78

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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.