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Finding the Fourth Proportional to 304,983.73, 420,878.43 and 169,019.87

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Solution

The fourth proportional to 304,983.73, 420,878.43 and 169,019.87 is: 233,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,983.73 : 420,878.43 = 169,019.87 : x
  2. Step 2: Convert to fraction form
    304,983.73/420,878.43 = 169,019.87/x
  3. Step 3: Cross multiply
    304,983.73x = 420,878.43 × 169,019.87
  4. Step 4: Simplify right side
    304,983.73x = 71,136,815,420.01
  5. Step 5: Solve for x
    x = 71,136,815,420.01/304,983.73
  6. Step 6: Final answer
    x = 233,247.90

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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.