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Finding the Fourth Proportional to 300,899.18, 415,221.72 and 164,909.10

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Solution

The fourth proportional to 300,899.18, 415,221.72 and 164,909.10 is: 227,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,899.18 : 415,221.72 = 164,909.10 : x
  2. Step 2: Convert to fraction form
    300,899.18/415,221.72 = 164,909.10/x
  3. Step 3: Cross multiply
    300,899.18x = 415,221.72 × 164,909.10
  4. Step 4: Simplify right side
    300,899.18x = 68,473,840,145.65
  5. Step 5: Solve for x
    x = 68,473,840,145.65/300,899.18
  6. Step 6: Final answer
    x = 227,564.06

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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.