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Finding the Fourth Proportional to 552,494.20, 827,963.70 and 409,221.40

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Solution

The fourth proportional to 552,494.20, 827,963.70 and 409,221.40 is: 613,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,494.20 : 827,963.70 = 409,221.40 : x
  2. Step 2: Convert to fraction form
    552,494.20/827,963.70 = 409,221.40/x
  3. Step 3: Cross multiply
    552,494.20x = 827,963.70 × 409,221.40
  4. Step 4: Simplify right side
    552,494.20x = 338,820,464,463.18
  5. Step 5: Solve for x
    x = 338,820,464,463.18/552,494.20
  6. Step 6: Final answer
    x = 613,256.15

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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.