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Finding the Fourth Proportional to 286,063.70, 428,572.27 and 133,981.54

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Solution

The fourth proportional to 286,063.70, 428,572.27 and 133,981.54 is: 200,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,063.70 : 428,572.27 = 133,981.54 : x
  2. Step 2: Convert to fraction form
    286,063.70/428,572.27 = 133,981.54/x
  3. Step 3: Cross multiply
    286,063.70x = 428,572.27 × 133,981.54
  4. Step 4: Simplify right side
    286,063.70x = 57,420,773,489.01
  5. Step 5: Solve for x
    x = 57,420,773,489.01/286,063.70
  6. Step 6: Final answer
    x = 200,727.23

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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.