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Finding the Fourth Proportional to 493,630.94, 740,474.10 and 138,617.27

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Solution

The fourth proportional to 493,630.94, 740,474.10 and 138,617.27 is: 207,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,630.94 : 740,474.10 = 138,617.27 : x
  2. Step 2: Convert to fraction form
    493,630.94/740,474.10 = 138,617.27/x
  3. Step 3: Cross multiply
    493,630.94x = 740,474.10 × 138,617.27
  4. Step 4: Simplify right side
    493,630.94x = 102,642,498,247.71
  5. Step 5: Solve for x
    x = 102,642,498,247.71/493,630.94
  6. Step 6: Final answer
    x = 207,933.68

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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.