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Finding the Fourth Proportional to 457,522.20, 686,369.76 and 173,297.88

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Solution

The fourth proportional to 457,522.20, 686,369.76 and 173,297.88 is: 259,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,522.20 : 686,369.76 = 173,297.88 : x
  2. Step 2: Convert to fraction form
    457,522.20/686,369.76 = 173,297.88/x
  3. Step 3: Cross multiply
    457,522.20x = 686,369.76 × 173,297.88
  4. Step 4: Simplify right side
    457,522.20x = 118,946,424,304.11
  5. Step 5: Solve for x
    x = 118,946,424,304.11/457,522.20
  6. Step 6: Final answer
    x = 259,979.57

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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.