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Finding the Fourth Proportional to 512,824.86, 769,462.47 and 272,882.21

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Solution

The fourth proportional to 512,824.86, 769,462.47 and 272,882.21 is: 409,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,824.86 : 769,462.47 = 272,882.21 : x
  2. Step 2: Convert to fraction form
    512,824.86/769,462.47 = 272,882.21/x
  3. Step 3: Cross multiply
    512,824.86x = 769,462.47 × 272,882.21
  4. Step 4: Simplify right side
    512,824.86x = 209,972,615,478.35
  5. Step 5: Solve for x
    x = 209,972,615,478.35/512,824.86
  6. Step 6: Final answer
    x = 409,443.13

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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.