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Finding the Fourth Proportional to 535,900.65, 803,924.70 and 198,912.72

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Solution

The fourth proportional to 535,900.65, 803,924.70 and 198,912.72 is: 298,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,900.65 : 803,924.70 = 198,912.72 : x
  2. Step 2: Convert to fraction form
    535,900.65/803,924.70 = 198,912.72/x
  3. Step 3: Cross multiply
    535,900.65x = 803,924.70 × 198,912.72
  4. Step 4: Simplify right side
    535,900.65x = 159,910,848,752.18
  5. Step 5: Solve for x
    x = 159,910,848,752.18/535,900.65
  6. Step 6: Final answer
    x = 298,396.44

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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.