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Finding the Fourth Proportional to 304,075.40, 419,617.14 and 169,939.40

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Solution

The fourth proportional to 304,075.40, 419,617.14 and 169,939.40 is: 234,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,075.40 : 419,617.14 = 169,939.40 : x
  2. Step 2: Convert to fraction form
    304,075.40/419,617.14 = 169,939.40/x
  3. Step 3: Cross multiply
    304,075.40x = 419,617.14 × 169,939.40
  4. Step 4: Simplify right side
    304,075.40x = 71,309,485,001.32
  5. Step 5: Solve for x
    x = 71,309,485,001.32/304,075.40
  6. Step 6: Final answer
    x = 234,512.51

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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.