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Finding the Fourth Proportional to 253,991.36, 380,652.72 and 141,724.40

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Solution

The fourth proportional to 253,991.36, 380,652.72 and 141,724.40 is: 212,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,991.36 : 380,652.72 = 141,724.40 : x
  2. Step 2: Convert to fraction form
    253,991.36/380,652.72 = 141,724.40/x
  3. Step 3: Cross multiply
    253,991.36x = 380,652.72 × 141,724.40
  4. Step 4: Simplify right side
    253,991.36x = 53,947,778,350.37
  5. Step 5: Solve for x
    x = 53,947,778,350.37/253,991.36
  6. Step 6: Final answer
    x = 212,400.05

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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.