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Finding the Fourth Proportional to 315,790.57, 435,791.10 and 170,596.41

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Solution

The fourth proportional to 315,790.57, 435,791.10 and 170,596.41 is: 235,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,790.57 : 435,791.10 = 170,596.41 : x
  2. Step 2: Convert to fraction form
    315,790.57/435,791.10 = 170,596.41/x
  3. Step 3: Cross multiply
    315,790.57x = 435,791.10 × 170,596.41
  4. Step 4: Simplify right side
    315,790.57x = 74,344,397,169.95
  5. Step 5: Solve for x
    x = 74,344,397,169.95/315,790.57
  6. Step 6: Final answer
    x = 235,423.11

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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.