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Finding the Fourth Proportional to 289,793.70, 434,488.05 and 171,404.10

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Solution

The fourth proportional to 289,793.70, 434,488.05 and 171,404.10 is: 256,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.70 : 434,488.05 = 171,404.10 : x
  2. Step 2: Convert to fraction form
    289,793.70/434,488.05 = 171,404.10/x
  3. Step 3: Cross multiply
    289,793.70x = 434,488.05 × 171,404.10
  4. Step 4: Simplify right side
    289,793.70x = 74,473,033,171.01
  5. Step 5: Solve for x
    x = 74,473,033,171.01/289,793.70
  6. Step 6: Final answer
    x = 256,986.38

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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.