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Finding the Fourth Proportional to 446,323.33, 615,620.49 and 285,106.78

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Solution

The fourth proportional to 446,323.33, 615,620.49 and 285,106.78 is: 393,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,323.33 : 615,620.49 = 285,106.78 : x
  2. Step 2: Convert to fraction form
    446,323.33/615,620.49 = 285,106.78/x
  3. Step 3: Cross multiply
    446,323.33x = 615,620.49 × 285,106.78
  4. Step 4: Simplify right side
    446,323.33x = 175,517,575,605.92
  5. Step 5: Solve for x
    x = 175,517,575,605.92/446,323.33
  6. Step 6: Final answer
    x = 393,252.07

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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.