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Finding the Fourth Proportional to 493,743.80, 740,105.40 and 268,628.60

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Solution

The fourth proportional to 493,743.80, 740,105.40 and 268,628.60 is: 402,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,743.80 : 740,105.40 = 268,628.60 : x
  2. Step 2: Convert to fraction form
    493,743.80/740,105.40 = 268,628.60/x
  3. Step 3: Cross multiply
    493,743.80x = 740,105.40 × 268,628.60
  4. Step 4: Simplify right side
    493,743.80x = 198,813,477,454.44
  5. Step 5: Solve for x
    x = 198,813,477,454.44/493,743.80
  6. Step 6: Final answer
    x = 402,665.26

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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.