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Finding the Fourth Proportional to 457,326.30, 685,712.42 and 204,559.68

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Solution

The fourth proportional to 457,326.30, 685,712.42 and 204,559.68 is: 306,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,326.30 : 685,712.42 = 204,559.68 : x
  2. Step 2: Convert to fraction form
    457,326.30/685,712.42 = 204,559.68/x
  3. Step 3: Cross multiply
    457,326.30x = 685,712.42 × 204,559.68
  4. Step 4: Simplify right side
    457,326.30x = 140,269,112,184.43
  5. Step 5: Solve for x
    x = 140,269,112,184.43/457,326.30
  6. Step 6: Final answer
    x = 306,715.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.