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Finding the Fourth Proportional to 203,469.38, 280,730.48 and 160,315.08

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Solution

The fourth proportional to 203,469.38, 280,730.48 and 160,315.08 is: 221,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.38 : 280,730.48 = 160,315.08 : x
  2. Step 2: Convert to fraction form
    203,469.38/280,730.48 = 160,315.08/x
  3. Step 3: Cross multiply
    203,469.38x = 280,730.48 × 160,315.08
  4. Step 4: Simplify right side
    203,469.38x = 45,005,329,359.64
  5. Step 5: Solve for x
    x = 45,005,329,359.64/203,469.38
  6. Step 6: Final answer
    x = 221,189.69

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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.