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Finding the Fourth Proportional to 509,201.69, 702,710.06 and 279,773.29

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Solution

The fourth proportional to 509,201.69, 702,710.06 and 279,773.29 is: 386,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,201.69 : 702,710.06 = 279,773.29 : x
  2. Step 2: Convert to fraction form
    509,201.69/702,710.06 = 279,773.29/x
  3. Step 3: Cross multiply
    509,201.69x = 702,710.06 × 279,773.29
  4. Step 4: Simplify right side
    509,201.69x = 196,599,505,668.68
  5. Step 5: Solve for x
    x = 196,599,505,668.68/509,201.69
  6. Step 6: Final answer
    x = 386,093.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.