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Finding the Fourth Proportional to 535,612.37, 803,806.89 and 198,701.07

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Solution

The fourth proportional to 535,612.37, 803,806.89 and 198,701.07 is: 298,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,612.37 : 803,806.89 = 198,701.07 : x
  2. Step 2: Convert to fraction form
    535,612.37/803,806.89 = 198,701.07/x
  3. Step 3: Cross multiply
    535,612.37x = 803,806.89 × 198,701.07
  4. Step 4: Simplify right side
    535,612.37x = 159,717,289,116.37
  5. Step 5: Solve for x
    x = 159,717,289,116.37/535,612.37
  6. Step 6: Final answer
    x = 298,195.67

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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.