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Finding the Fourth Proportional to 446,273.97, 615,704.13 and 285,223.29

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Solution

The fourth proportional to 446,273.97, 615,704.13 and 285,223.29 is: 393,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,273.97 : 615,704.13 = 285,223.29 : x
  2. Step 2: Convert to fraction form
    446,273.97/615,704.13 = 285,223.29/x
  3. Step 3: Cross multiply
    446,273.97x = 615,704.13 × 285,223.29
  4. Step 4: Simplify right side
    446,273.97x = 175,613,157,625.19
  5. Step 5: Solve for x
    x = 175,613,157,625.19/446,273.97
  6. Step 6: Final answer
    x = 393,509.75

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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.