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Finding the Fourth Proportional to 446,266.46, 615,693.80 and 285,215.78

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Solution

The fourth proportional to 446,266.46, 615,693.80 and 285,215.78 is: 393,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,266.46 : 615,693.80 = 285,215.78 : x
  2. Step 2: Convert to fraction form
    446,266.46/615,693.80 = 285,215.78/x
  3. Step 3: Cross multiply
    446,266.46x = 615,693.80 × 285,215.78
  4. Step 4: Simplify right side
    446,266.46x = 175,605,589,660.44
  5. Step 5: Solve for x
    x = 175,605,589,660.44/446,266.46
  6. Step 6: Final answer
    x = 393,499.41

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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.