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Finding the Fourth Proportional to 509,202.69, 702,711.44 and 279,774.29

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Solution

The fourth proportional to 509,202.69, 702,711.44 and 279,774.29 is: 386,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,202.69 : 702,711.44 = 279,774.29 : x
  2. Step 2: Convert to fraction form
    509,202.69/702,711.44 = 279,774.29/x
  3. Step 3: Cross multiply
    509,202.69x = 702,711.44 × 279,774.29
  4. Step 4: Simplify right side
    509,202.69x = 196,600,594,200.88
  5. Step 5: Solve for x
    x = 196,600,594,200.88/509,202.69
  6. Step 6: Final answer
    x = 386,094.96

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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.