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Finding the Fourth Proportional to 509,195.34, 702,701.33 and 279,766.96

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Solution

The fourth proportional to 509,195.34, 702,701.33 and 279,766.96 is: 386,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,195.34 : 702,701.33 = 279,766.96 : x
  2. Step 2: Convert to fraction form
    509,195.34/702,701.33 = 279,766.96/x
  3. Step 3: Cross multiply
    509,195.34x = 702,701.33 × 279,766.96
  4. Step 4: Simplify right side
    509,195.34x = 196,592,615,679.16
  5. Step 5: Solve for x
    x = 196,592,615,679.16/509,195.34
  6. Step 6: Final answer
    x = 386,084.87

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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.