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Finding the Fourth Proportional to 304,343.91, 420,003.50 and 166,531.11

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Solution

The fourth proportional to 304,343.91, 420,003.50 and 166,531.11 is: 229,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,343.91 : 420,003.50 = 166,531.11 : x
  2. Step 2: Convert to fraction form
    304,343.91/420,003.50 = 166,531.11/x
  3. Step 3: Cross multiply
    304,343.91x = 420,003.50 × 166,531.11
  4. Step 4: Simplify right side
    304,343.91x = 69,943,648,226.23
  5. Step 5: Solve for x
    x = 69,943,648,226.23/304,343.91
  6. Step 6: Final answer
    x = 229,817.80

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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.