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Finding the Fourth Proportional to 515,690.64, 711,744 and 324,763.92

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Solution

The fourth proportional to 515,690.64, 711,744 and 324,763.92 is: 448,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,690.64 : 711,744 = 324,763.92 : x
  2. Step 2: Convert to fraction form
    515,690.64/711,744 = 324,763.92/x
  3. Step 3: Cross multiply
    515,690.64x = 711,744 × 324,763.92
  4. Step 4: Simplify right side
    515,690.64x = 231,148,771,476.48
  5. Step 5: Solve for x
    x = 231,148,771,476.48/515,690.64
  6. Step 6: Final answer
    x = 448,231.47

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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.