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Finding the Fourth Proportional to 521,846.40, 783,028.80 and 206,313.60

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Solution

The fourth proportional to 521,846.40, 783,028.80 and 206,313.60 is: 309,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,846.40 : 783,028.80 = 206,313.60 : x
  2. Step 2: Convert to fraction form
    521,846.40/783,028.80 = 206,313.60/x
  3. Step 3: Cross multiply
    521,846.40x = 783,028.80 × 206,313.60
  4. Step 4: Simplify right side
    521,846.40x = 161,549,490,631.68
  5. Step 5: Solve for x
    x = 161,549,490,631.68/521,846.40
  6. Step 6: Final answer
    x = 309,572.88

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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.