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Finding the Fourth Proportional to 408,823, 564,184.38 and 229,975

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Solution

The fourth proportional to 408,823, 564,184.38 and 229,975 is: 317,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,823 : 564,184.38 = 229,975 : x
  2. Step 2: Convert to fraction form
    408,823/564,184.38 = 229,975/x
  3. Step 3: Cross multiply
    408,823x = 564,184.38 × 229,975
  4. Step 4: Simplify right side
    408,823x = 129,748,302,790.50
  5. Step 5: Solve for x
    x = 129,748,302,790.50/408,823
  6. Step 6: Final answer
    x = 317,370.36

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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.