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Finding the Fourth Proportional to 457,367.72, 685,685.25 and 217,361.16

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Solution

The fourth proportional to 457,367.72, 685,685.25 and 217,361.16 is: 325,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,367.72 : 685,685.25 = 217,361.16 : x
  2. Step 2: Convert to fraction form
    457,367.72/685,685.25 = 217,361.16/x
  3. Step 3: Cross multiply
    457,367.72x = 685,685.25 × 217,361.16
  4. Step 4: Simplify right side
    457,367.72x = 149,041,341,334.89
  5. Step 5: Solve for x
    x = 149,041,341,334.89/457,367.72
  6. Step 6: Final answer
    x = 325,867.65

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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.