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Finding the Fourth Proportional to 254,709.40, 381,626.70 and 165,917.20

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Solution

The fourth proportional to 254,709.40, 381,626.70 and 165,917.20 is: 248,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,709.40 : 381,626.70 = 165,917.20 : x
  2. Step 2: Convert to fraction form
    254,709.40/381,626.70 = 165,917.20/x
  3. Step 3: Cross multiply
    254,709.40x = 381,626.70 × 165,917.20
  4. Step 4: Simplify right side
    254,709.40x = 63,318,433,509.24
  5. Step 5: Solve for x
    x = 63,318,433,509.24/254,709.40
  6. Step 6: Final answer
    x = 248,590.88

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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.