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Finding the Fourth Proportional to 517,810.70, 777,007.65 and 202,226.60

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Solution

The fourth proportional to 517,810.70, 777,007.65 and 202,226.60 is: 303,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,810.70 : 777,007.65 = 202,226.60 : x
  2. Step 2: Convert to fraction form
    517,810.70/777,007.65 = 202,226.60/x
  3. Step 3: Cross multiply
    517,810.70x = 777,007.65 × 202,226.60
  4. Step 4: Simplify right side
    517,810.70x = 157,131,615,233.49
  5. Step 5: Solve for x
    x = 157,131,615,233.49/517,810.70
  6. Step 6: Final answer
    x = 303,453.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.