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Finding the Fourth Proportional to 262,536, 393,824.70 and 129,343.59

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Solution

The fourth proportional to 262,536, 393,824.70 and 129,343.59 is: 194,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,536 : 393,824.70 = 129,343.59 : x
  2. Step 2: Convert to fraction form
    262,536/393,824.70 = 129,343.59/x
  3. Step 3: Cross multiply
    262,536x = 393,824.70 × 129,343.59
  4. Step 4: Simplify right side
    262,536x = 50,938,700,528.67
  5. Step 5: Solve for x
    x = 50,938,700,528.67/262,536
  6. Step 6: Final answer
    x = 194,025.58

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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.