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Finding the Fourth Proportional to 397,992.76, 597,032.88 and 198,363.40

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Solution

The fourth proportional to 397,992.76, 597,032.88 and 198,363.40 is: 297,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,992.76 : 597,032.88 = 198,363.40 : x
  2. Step 2: Convert to fraction form
    397,992.76/597,032.88 = 198,363.40/x
  3. Step 3: Cross multiply
    397,992.76x = 597,032.88 × 198,363.40
  4. Step 4: Simplify right side
    397,992.76x = 118,429,471,988.59
  5. Step 5: Solve for x
    x = 118,429,471,988.59/397,992.76
  6. Step 6: Final answer
    x = 297,566.90

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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.