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Finding the Fourth Proportional to 457,584.66, 631,253.25 and 287,912.34

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Solution

The fourth proportional to 457,584.66, 631,253.25 and 287,912.34 is: 397,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,584.66 : 631,253.25 = 287,912.34 : x
  2. Step 2: Convert to fraction form
    457,584.66/631,253.25 = 287,912.34/x
  3. Step 3: Cross multiply
    457,584.66x = 631,253.25 × 287,912.34
  4. Step 4: Simplify right side
    457,584.66x = 181,745,600,340.11
  5. Step 5: Solve for x
    x = 181,745,600,340.11/457,584.66
  6. Step 6: Final answer
    x = 397,184.64

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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.