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Finding the Fourth Proportional to 331,907.60, 498,036.72 and 199,054.64

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Solution

The fourth proportional to 331,907.60, 498,036.72 and 199,054.64 is: 298,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,907.60 : 498,036.72 = 199,054.64 : x
  2. Step 2: Convert to fraction form
    331,907.60/498,036.72 = 199,054.64/x
  3. Step 3: Cross multiply
    331,907.60x = 498,036.72 × 199,054.64
  4. Step 4: Simplify right side
    331,907.60x = 99,136,520,006.38
  5. Step 5: Solve for x
    x = 99,136,520,006.38/331,907.60
  6. Step 6: Final answer
    x = 298,687.10

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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.