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Finding the Fourth Proportional to 457,609.46, 686,418.24 and 187,885.94

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Solution

The fourth proportional to 457,609.46, 686,418.24 and 187,885.94 is: 281,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,609.46 : 686,418.24 = 187,885.94 : x
  2. Step 2: Convert to fraction form
    457,609.46/686,418.24 = 187,885.94/x
  3. Step 3: Cross multiply
    457,609.46x = 686,418.24 × 187,885.94
  4. Step 4: Simplify right side
    457,609.46x = 128,968,336,255.55
  5. Step 5: Solve for x
    x = 128,968,336,255.55/457,609.46
  6. Step 6: Final answer
    x = 281,830.57

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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.