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Finding the Fourth Proportional to 457,817.34, 686,496.24 and 217,859.70

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Solution

The fourth proportional to 457,817.34, 686,496.24 and 217,859.70 is: 326,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.34 : 686,496.24 = 217,859.70 : x
  2. Step 2: Convert to fraction form
    457,817.34/686,496.24 = 217,859.70/x
  3. Step 3: Cross multiply
    457,817.34x = 686,496.24 × 217,859.70
  4. Step 4: Simplify right side
    457,817.34x = 149,559,864,897.53
  5. Step 5: Solve for x
    x = 149,559,864,897.53/457,817.34
  6. Step 6: Final answer
    x = 326,680.21

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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.