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Finding the Fourth Proportional to 398,435.76, 597,697.38 and 198,806.40

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Solution

The fourth proportional to 398,435.76, 597,697.38 and 198,806.40 is: 298,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,435.76 : 597,697.38 = 198,806.40 : x
  2. Step 2: Convert to fraction form
    398,435.76/597,697.38 = 198,806.40/x
  3. Step 3: Cross multiply
    398,435.76x = 597,697.38 × 198,806.40
  4. Step 4: Simplify right side
    398,435.76x = 118,826,064,407.23
  5. Step 5: Solve for x
    x = 118,826,064,407.23/398,435.76
  6. Step 6: Final answer
    x = 298,231.42

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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.