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Finding the Fourth Proportional to 203,632.96, 280,017 and 176,728.75

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Solution

The fourth proportional to 203,632.96, 280,017 and 176,728.75 is: 243,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,632.96 : 280,017 = 176,728.75 : x
  2. Step 2: Convert to fraction form
    203,632.96/280,017 = 176,728.75/x
  3. Step 3: Cross multiply
    203,632.96x = 280,017 × 176,728.75
  4. Step 4: Simplify right side
    203,632.96x = 49,487,054,738.77
  5. Step 5: Solve for x
    x = 49,487,054,738.77/203,632.96
  6. Step 6: Final answer
    x = 243,020.85

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1.5x scale

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.