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Finding the Fourth Proportional to 512,970.18, 769,499 and 133,941.21

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Solution

The fourth proportional to 512,970.18, 769,499 and 133,941.21 is: 200,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,970.18 : 769,499 = 133,941.21 : x
  2. Step 2: Convert to fraction form
    512,970.18/769,499 = 133,941.21/x
  3. Step 3: Cross multiply
    512,970.18x = 769,499 × 133,941.21
  4. Step 4: Simplify right side
    512,970.18x = 103,067,627,153.79
  5. Step 5: Solve for x
    x = 103,067,627,153.79/512,970.18
  6. Step 6: Final answer
    x = 200,923.23

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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.