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Finding the Fourth Proportional to 304,983.32, 420,878.04 and 169,019.54

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Solution

The fourth proportional to 304,983.32, 420,878.04 and 169,019.54 is: 233,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,983.32 : 420,878.04 = 169,019.54 : x
  2. Step 2: Convert to fraction form
    304,983.32/420,878.04 = 169,019.54/x
  3. Step 3: Cross multiply
    304,983.32x = 420,878.04 × 169,019.54
  4. Step 4: Simplify right side
    304,983.32x = 71,136,612,716.90
  5. Step 5: Solve for x
    x = 71,136,612,716.90/304,983.32
  6. Step 6: Final answer
    x = 233,247.55

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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.