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Finding the Fourth Proportional to 512,423.70, 769,101.98 and 272,738.81

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Solution

The fourth proportional to 512,423.70, 769,101.98 and 272,738.81 is: 409,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,423.70 : 769,101.98 = 272,738.81 : x
  2. Step 2: Convert to fraction form
    512,423.70/769,101.98 = 272,738.81/x
  3. Step 3: Cross multiply
    512,423.70x = 769,101.98 × 272,738.81
  4. Step 4: Simplify right side
    512,423.70x = 209,763,953,584.64
  5. Step 5: Solve for x
    x = 209,763,953,584.64/512,423.70
  6. Step 6: Final answer
    x = 409,356.46

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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.