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Finding the Fourth Proportional to 254,858.10, 382,285.80 and 65,318.10

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Solution

The fourth proportional to 254,858.10, 382,285.80 and 65,318.10 is: 97,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,858.10 : 382,285.80 = 65,318.10 : x
  2. Step 2: Convert to fraction form
    254,858.10/382,285.80 = 65,318.10/x
  3. Step 3: Cross multiply
    254,858.10x = 382,285.80 × 65,318.10
  4. Step 4: Simplify right side
    254,858.10x = 24,970,182,112.98
  5. Step 5: Solve for x
    x = 24,970,182,112.98/254,858.10
  6. Step 6: Final answer
    x = 97,976.80

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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.