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Finding the Fourth Proportional to 552,518.20, 827,999.70 and 409,245.40

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Solution

The fourth proportional to 552,518.20, 827,999.70 and 409,245.40 is: 613,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,518.20 : 827,999.70 = 409,245.40 : x
  2. Step 2: Convert to fraction form
    552,518.20/827,999.70 = 409,245.40/x
  3. Step 3: Cross multiply
    552,518.20x = 827,999.70 × 409,245.40
  4. Step 4: Simplify right side
    552,518.20x = 338,855,068,426.38
  5. Step 5: Solve for x
    x = 338,855,068,426.38/552,518.20
  6. Step 6: Final answer
    x = 613,292.14

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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.