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Finding the Fourth Proportional to 497,818.71, 746,678.86 and 198,218.85

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Solution

The fourth proportional to 497,818.71, 746,678.86 and 198,218.85 is: 297,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,818.71 : 746,678.86 = 198,218.85 : x
  2. Step 2: Convert to fraction form
    497,818.71/746,678.86 = 198,218.85/x
  3. Step 3: Cross multiply
    497,818.71x = 746,678.86 × 198,218.85
  4. Step 4: Simplify right side
    497,818.71x = 148,005,821,652.92
  5. Step 5: Solve for x
    x = 148,005,821,652.92/497,818.71
  6. Step 6: Final answer
    x = 297,308.68

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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.