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Finding the Fourth Proportional to 552,523.20, 828,007.20 and 409,250.40

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Solution

The fourth proportional to 552,523.20, 828,007.20 and 409,250.40 is: 613,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,523.20 : 828,007.20 = 409,250.40 : x
  2. Step 2: Convert to fraction form
    552,523.20/828,007.20 = 409,250.40/x
  3. Step 3: Cross multiply
    552,523.20x = 828,007.20 × 409,250.40
  4. Step 4: Simplify right side
    552,523.20x = 338,862,277,802.88
  5. Step 5: Solve for x
    x = 338,862,277,802.88/552,523.20
  6. Step 6: Final answer
    x = 613,299.64

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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.