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Finding the Fourth Proportional to 209,554.55, 315,731.98 and 189,589.38

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Solution

The fourth proportional to 209,554.55, 315,731.98 and 189,589.38 is: 285,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,554.55 : 315,731.98 = 189,589.38 : x
  2. Step 2: Convert to fraction form
    209,554.55/315,731.98 = 189,589.38/x
  3. Step 3: Cross multiply
    209,554.55x = 315,731.98 × 189,589.38
  4. Step 4: Simplify right side
    209,554.55x = 59,859,428,587.53
  5. Step 5: Solve for x
    x = 59,859,428,587.53/209,554.55
  6. Step 6: Final answer
    x = 285,650.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.