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Finding the Fourth Proportional to 254,563.20, 381,844.80 and 238,816.80

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Solution

The fourth proportional to 254,563.20, 381,844.80 and 238,816.80 is: 358,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,563.20 : 381,844.80 = 238,816.80 : x
  2. Step 2: Convert to fraction form
    254,563.20/381,844.80 = 238,816.80/x
  3. Step 3: Cross multiply
    254,563.20x = 381,844.80 × 238,816.80
  4. Step 4: Simplify right side
    254,563.20x = 91,190,953,232.64
  5. Step 5: Solve for x
    x = 91,190,953,232.64/254,563.20
  6. Step 6: Final answer
    x = 358,225.20

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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.