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Finding the Fourth Proportional to 289,113.30, 433,711.26 and 89,450.73

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Solution

The fourth proportional to 289,113.30, 433,711.26 and 89,450.73 is: 134,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,113.30 : 433,711.26 = 89,450.73 : x
  2. Step 2: Convert to fraction form
    289,113.30/433,711.26 = 89,450.73/x
  3. Step 3: Cross multiply
    289,113.30x = 433,711.26 × 89,450.73
  4. Step 4: Simplify right side
    289,113.30x = 38,795,788,816.22
  5. Step 5: Solve for x
    x = 38,795,788,816.22/289,113.30
  6. Step 6: Final answer
    x = 134,188.88

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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.