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Finding the Fourth Proportional to 253,445.28, 380,659.98 and 186,621.48

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Solution

The fourth proportional to 253,445.28, 380,659.98 and 186,621.48 is: 280,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,445.28 : 380,659.98 = 186,621.48 : x
  2. Step 2: Convert to fraction form
    253,445.28/380,659.98 = 186,621.48/x
  3. Step 3: Cross multiply
    253,445.28x = 380,659.98 × 186,621.48
  4. Step 4: Simplify right side
    253,445.28x = 71,039,328,844.37
  5. Step 5: Solve for x
    x = 71,039,328,844.37/253,445.28
  6. Step 6: Final answer
    x = 280,294.54

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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.