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Finding the Fourth Proportional to 493,629.44, 740,471.85 and 138,615.77

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Solution

The fourth proportional to 493,629.44, 740,471.85 and 138,615.77 is: 207,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,629.44 : 740,471.85 = 138,615.77 : x
  2. Step 2: Convert to fraction form
    493,629.44/740,471.85 = 138,615.77/x
  3. Step 3: Cross multiply
    493,629.44x = 740,471.85 × 138,615.77
  4. Step 4: Simplify right side
    493,629.44x = 102,641,074,958.00
  5. Step 5: Solve for x
    x = 102,641,074,958.00/493,629.44
  6. Step 6: Final answer
    x = 207,931.43

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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.