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Finding the Fourth Proportional to 253,808.28, 380,723.73 and 141,403.32

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Solution

The fourth proportional to 253,808.28, 380,723.73 and 141,403.32 is: 212,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808.28 : 380,723.73 = 141,403.32 : x
  2. Step 2: Convert to fraction form
    253,808.28/380,723.73 = 141,403.32/x
  3. Step 3: Cross multiply
    253,808.28x = 380,723.73 × 141,403.32
  4. Step 4: Simplify right side
    253,808.28x = 53,835,599,424.78
  5. Step 5: Solve for x
    x = 53,835,599,424.78/253,808.28
  6. Step 6: Final answer
    x = 212,111.28

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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.