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Finding the Fourth Proportional to 289,869.47, 434,834 and 100,329.53

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Solution

The fourth proportional to 289,869.47, 434,834 and 100,329.53 is: 150,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,869.47 : 434,834 = 100,329.53 : x
  2. Step 2: Convert to fraction form
    289,869.47/434,834 = 100,329.53/x
  3. Step 3: Cross multiply
    289,869.47x = 434,834 × 100,329.53
  4. Step 4: Simplify right side
    289,869.47x = 43,626,690,848.02
  5. Step 5: Solve for x
    x = 43,626,690,848.02/289,869.47
  6. Step 6: Final answer
    x = 150,504.61

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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.