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Finding the Fourth Proportional to 498,004.87, 747,006.62 and 198,695.64

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Solution

The fourth proportional to 498,004.87, 747,006.62 and 198,695.64 is: 298,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,004.87 : 747,006.62 = 198,695.64 : x
  2. Step 2: Convert to fraction form
    498,004.87/747,006.62 = 198,695.64/x
  3. Step 3: Cross multiply
    498,004.87x = 747,006.62 × 198,695.64
  4. Step 4: Simplify right side
    498,004.87x = 148,426,954,650.38
  5. Step 5: Solve for x
    x = 148,426,954,650.38/498,004.87
  6. Step 6: Final answer
    x = 298,043.18

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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.