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Finding the Fourth Proportional to 509,929.73, 703,720.31 and 280,504.08

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Solution

The fourth proportional to 509,929.73, 703,720.31 and 280,504.08 is: 387,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,929.73 : 703,720.31 = 280,504.08 : x
  2. Step 2: Convert to fraction form
    509,929.73/703,720.31 = 280,504.08/x
  3. Step 3: Cross multiply
    509,929.73x = 703,720.31 × 280,504.08
  4. Step 4: Simplify right side
    509,929.73x = 197,396,416,731.34
  5. Step 5: Solve for x
    x = 197,396,416,731.34/509,929.73
  6. Step 6: Final answer
    x = 387,105.14

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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.