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Finding the Fourth Proportional to 535,697.09, 803,519.67 and 198,803.42

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Solution

The fourth proportional to 535,697.09, 803,519.67 and 198,803.42 is: 298,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,697.09 : 803,519.67 = 198,803.42 : x
  2. Step 2: Convert to fraction form
    535,697.09/803,519.67 = 198,803.42/x
  3. Step 3: Cross multiply
    535,697.09x = 803,519.67 × 198,803.42
  4. Step 4: Simplify right side
    535,697.09x = 159,742,458,433.27
  5. Step 5: Solve for x
    x = 159,742,458,433.27/535,697.09
  6. Step 6: Final answer
    x = 298,195.49

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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.