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Finding the Fourth Proportional to 509,301.99, 702,834.40 and 279,873.54

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Solution

The fourth proportional to 509,301.99, 702,834.40 and 279,873.54 is: 386,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,301.99 : 702,834.40 = 279,873.54 : x
  2. Step 2: Convert to fraction form
    509,301.99/702,834.40 = 279,873.54/x
  3. Step 3: Cross multiply
    509,301.99x = 702,834.40 × 279,873.54
  4. Step 4: Simplify right side
    509,301.99x = 196,704,751,911.62
  5. Step 5: Solve for x
    x = 196,704,751,911.62/509,301.99
  6. Step 6: Final answer
    x = 386,224.20

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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.