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Finding the Fourth Proportional to 289,872.20, 434,604.56 and 127,689.30

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Solution

The fourth proportional to 289,872.20, 434,604.56 and 127,689.30 is: 191,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,872.20 : 434,604.56 = 127,689.30 : x
  2. Step 2: Convert to fraction form
    289,872.20/434,604.56 = 127,689.30/x
  3. Step 3: Cross multiply
    289,872.20x = 434,604.56 × 127,689.30
  4. Step 4: Simplify right side
    289,872.20x = 55,494,351,404.76
  5. Step 5: Solve for x
    x = 55,494,351,404.76/289,872.20
  6. Step 6: Final answer
    x = 191,444.20

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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.