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Finding the Fourth Proportional to 509,181.86, 702,683.36 and 279,754.02

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Solution

The fourth proportional to 509,181.86, 702,683.36 and 279,754.02 is: 386,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,181.86 : 702,683.36 = 279,754.02 : x
  2. Step 2: Convert to fraction form
    509,181.86/702,683.36 = 279,754.02/x
  3. Step 3: Cross multiply
    509,181.86x = 702,683.36 × 279,754.02
  4. Step 4: Simplify right side
    509,181.86x = 196,578,494,747.11
  5. Step 5: Solve for x
    x = 196,578,494,747.11/509,181.86
  6. Step 6: Final answer
    x = 386,067.36

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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.