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Finding the Fourth Proportional to 210,618.80, 315,847.16 and 165,728.48

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Solution

The fourth proportional to 210,618.80, 315,847.16 and 165,728.48 is: 248,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,618.80 : 315,847.16 = 165,728.48 : x
  2. Step 2: Convert to fraction form
    210,618.80/315,847.16 = 165,728.48/x
  3. Step 3: Cross multiply
    210,618.80x = 315,847.16 × 165,728.48
  4. Step 4: Simplify right side
    210,618.80x = 52,344,869,739.12
  5. Step 5: Solve for x
    x = 52,344,869,739.12/210,618.80
  6. Step 6: Final answer
    x = 248,528.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.