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Finding the Fourth Proportional to 203,654.40, 305,705.12 and 161,803.52

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Solution

The fourth proportional to 203,654.40, 305,705.12 and 161,803.52 is: 242,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,654.40 : 305,705.12 = 161,803.52 : x
  2. Step 2: Convert to fraction form
    203,654.40/305,705.12 = 161,803.52/x
  3. Step 3: Cross multiply
    203,654.40x = 305,705.12 × 161,803.52
  4. Step 4: Simplify right side
    203,654.40x = 49,464,164,498.02
  5. Step 5: Solve for x
    x = 49,464,164,498.02/203,654.40
  6. Step 6: Final answer
    x = 242,882.87

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1.5x scale

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.