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Finding the Fourth Proportional to 457,715.80, 686,087.70 and 220,904.20

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Solution

The fourth proportional to 457,715.80, 686,087.70 and 220,904.20 is: 331,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,715.80 : 686,087.70 = 220,904.20 : x
  2. Step 2: Convert to fraction form
    457,715.80/686,087.70 = 220,904.20/x
  3. Step 3: Cross multiply
    457,715.80x = 686,087.70 × 220,904.20
  4. Step 4: Simplify right side
    457,715.80x = 151,559,654,498.34
  5. Step 5: Solve for x
    x = 151,559,654,498.34/457,715.80
  6. Step 6: Final answer
    x = 331,121.75

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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.