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Finding the Fourth Proportional to 523,132.70, 784,706.34 and 149,155.70

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Solution

The fourth proportional to 523,132.70, 784,706.34 and 149,155.70 is: 223,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,132.70 : 784,706.34 = 149,155.70 : x
  2. Step 2: Convert to fraction form
    523,132.70/784,706.34 = 149,155.70/x
  3. Step 3: Cross multiply
    523,132.70x = 784,706.34 × 149,155.70
  4. Step 4: Simplify right side
    523,132.70x = 117,043,419,513.61
  5. Step 5: Solve for x
    x = 117,043,419,513.61/523,132.70
  6. Step 6: Final answer
    x = 223,735.62

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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.