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Finding the Fourth Proportional to 457,145.54, 685,266.27 and 216,837.98

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Solution

The fourth proportional to 457,145.54, 685,266.27 and 216,837.98 is: 325,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,145.54 : 685,266.27 = 216,837.98 : x
  2. Step 2: Convert to fraction form
    457,145.54/685,266.27 = 216,837.98/x
  3. Step 3: Cross multiply
    457,145.54x = 685,266.27 × 216,837.98
  4. Step 4: Simplify right side
    457,145.54x = 148,591,753,748.94
  5. Step 5: Solve for x
    x = 148,591,753,748.94/457,145.54
  6. Step 6: Final answer
    x = 325,042.55

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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.