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Finding the Fourth Proportional to 303,809.28, 419,259.90 and 212,061.90

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Solution

The fourth proportional to 303,809.28, 419,259.90 and 212,061.90 is: 292,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,809.28 : 419,259.90 = 212,061.90 : x
  2. Step 2: Convert to fraction form
    303,809.28/419,259.90 = 212,061.90/x
  3. Step 3: Cross multiply
    303,809.28x = 419,259.90 × 212,061.90
  4. Step 4: Simplify right side
    303,809.28x = 88,909,049,804.08
  5. Step 5: Solve for x
    x = 88,909,049,804.08/303,809.28
  6. Step 6: Final answer
    x = 292,647.58

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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.