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Finding the Fourth Proportional to 497,309.42, 746,101.73 and 198,000.05

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Solution

The fourth proportional to 497,309.42, 746,101.73 and 198,000.05 is: 297,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,309.42 : 746,101.73 = 198,000.05 : x
  2. Step 2: Convert to fraction form
    497,309.42/746,101.73 = 198,000.05/x
  3. Step 3: Cross multiply
    497,309.42x = 746,101.73 × 198,000.05
  4. Step 4: Simplify right side
    497,309.42x = 147,728,176,609.58
  5. Step 5: Solve for x
    x = 147,728,176,609.58/497,309.42
  6. Step 6: Final answer
    x = 297,054.85

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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.