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Finding the Fourth Proportional to 509,296.73, 702,829.30 and 279,868.80

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Solution

The fourth proportional to 509,296.73, 702,829.30 and 279,868.80 is: 386,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,296.73 : 702,829.30 = 279,868.80 : x
  2. Step 2: Convert to fraction form
    509,296.73/702,829.30 = 279,868.80/x
  3. Step 3: Cross multiply
    509,296.73x = 702,829.30 × 279,868.80
  4. Step 4: Simplify right side
    509,296.73x = 196,699,991,396.50
  5. Step 5: Solve for x
    x = 196,699,991,396.50/509,296.73
  6. Step 6: Final answer
    x = 386,218.84

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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.