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Finding the Fourth Proportional to 297,386.25, 410,386.53 and 161,420.46

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Solution

The fourth proportional to 297,386.25, 410,386.53 and 161,420.46 is: 222,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386.25 : 410,386.53 = 161,420.46 : x
  2. Step 2: Convert to fraction form
    297,386.25/410,386.53 = 161,420.46/x
  3. Step 3: Cross multiply
    297,386.25x = 410,386.53 × 161,420.46
  4. Step 4: Simplify right side
    297,386.25x = 66,244,782,450.40
  5. Step 5: Solve for x
    x = 66,244,782,450.40/297,386.25
  6. Step 6: Final answer
    x = 222,756.71

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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.