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Finding the Fourth Proportional to 515,399.62, 711,250.78 and 289,043.14

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Solution

The fourth proportional to 515,399.62, 711,250.78 and 289,043.14 is: 398,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,399.62 : 711,250.78 = 289,043.14 : x
  2. Step 2: Convert to fraction form
    515,399.62/711,250.78 = 289,043.14/x
  3. Step 3: Cross multiply
    515,399.62x = 711,250.78 × 289,043.14
  4. Step 4: Simplify right side
    515,399.62x = 205,582,153,777.18
  5. Step 5: Solve for x
    x = 205,582,153,777.18/515,399.62
  6. Step 6: Final answer
    x = 398,879.14

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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.