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Finding the Fourth Proportional to 515,696.64, 711,752.28 and 324,769.92

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Solution

The fourth proportional to 515,696.64, 711,752.28 and 324,769.92 is: 448,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,696.64 : 711,752.28 = 324,769.92 : x
  2. Step 2: Convert to fraction form
    515,696.64/711,752.28 = 324,769.92/x
  3. Step 3: Cross multiply
    515,696.64x = 711,752.28 × 324,769.92
  4. Step 4: Simplify right side
    515,696.64x = 231,155,731,035.42
  5. Step 5: Solve for x
    x = 231,155,731,035.42/515,696.64
  6. Step 6: Final answer
    x = 448,239.75

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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.