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Finding the Fourth Proportional to 457,817.80, 686,240.70 and 221,006.20

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Solution

The fourth proportional to 457,817.80, 686,240.70 and 221,006.20 is: 331,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.80 : 686,240.70 = 221,006.20 : x
  2. Step 2: Convert to fraction form
    457,817.80/686,240.70 = 221,006.20/x
  3. Step 3: Cross multiply
    457,817.80x = 686,240.70 × 221,006.20
  4. Step 4: Simplify right side
    457,817.80x = 151,663,449,392.34
  5. Step 5: Solve for x
    x = 151,663,449,392.34/457,817.80
  6. Step 6: Final answer
    x = 331,274.69

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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.