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Finding the Fourth Proportional to 512,989.91, 769,485.06 and 133,909.59

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Solution

The fourth proportional to 512,989.91, 769,485.06 and 133,909.59 is: 200,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,989.91 : 769,485.06 = 133,909.59 : x
  2. Step 2: Convert to fraction form
    512,989.91/769,485.06 = 133,909.59/x
  3. Step 3: Cross multiply
    512,989.91x = 769,485.06 × 133,909.59
  4. Step 4: Simplify right side
    512,989.91x = 103,041,428,895.73
  5. Step 5: Solve for x
    x = 103,041,428,895.73/512,989.91
  6. Step 6: Final answer
    x = 200,864.44

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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.