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Finding the Fourth Proportional to 254,697.40, 381,608.70 and 165,905.20

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Solution

The fourth proportional to 254,697.40, 381,608.70 and 165,905.20 is: 248,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,697.40 : 381,608.70 = 165,905.20 : x
  2. Step 2: Convert to fraction form
    254,697.40/381,608.70 = 165,905.20/x
  3. Step 3: Cross multiply
    254,697.40x = 381,608.70 × 165,905.20
  4. Step 4: Simplify right side
    254,697.40x = 63,310,867,695.24
  5. Step 5: Solve for x
    x = 63,310,867,695.24/254,697.40
  6. Step 6: Final answer
    x = 248,572.89

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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.