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Finding the Fourth Proportional to 535,374.80, 802,140.60 and 254,286.80

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Solution

The fourth proportional to 535,374.80, 802,140.60 and 254,286.80 is: 380,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,374.80 : 802,140.60 = 254,286.80 : x
  2. Step 2: Convert to fraction form
    535,374.80/802,140.60 = 254,286.80/x
  3. Step 3: Cross multiply
    535,374.80x = 802,140.60 × 254,286.80
  4. Step 4: Simplify right side
    535,374.80x = 203,973,766,324.08
  5. Step 5: Solve for x
    x = 203,973,766,324.08/535,374.80
  6. Step 6: Final answer
    x = 380,992.47

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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.