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Finding the Fourth Proportional to 512,980.14, 769,470.44 and 133,899.83

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Solution

The fourth proportional to 512,980.14, 769,470.44 and 133,899.83 is: 200,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,980.14 : 769,470.44 = 133,899.83 : x
  2. Step 2: Convert to fraction form
    512,980.14/769,470.44 = 133,899.83/x
  3. Step 3: Cross multiply
    512,980.14x = 769,470.44 × 133,899.83
  4. Step 4: Simplify right side
    512,980.14x = 103,031,963,802.96
  5. Step 5: Solve for x
    x = 103,031,963,802.96/512,980.14
  6. Step 6: Final answer
    x = 200,849.81

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1.5x scale

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.