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Finding the Fourth Proportional to 625,431.94, 938,216.88 and 198,868

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Solution

The fourth proportional to 625,431.94, 938,216.88 and 198,868 is: 298,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,431.94 : 938,216.88 = 198,868 : x
  2. Step 2: Convert to fraction form
    625,431.94/938,216.88 = 198,868/x
  3. Step 3: Cross multiply
    625,431.94x = 938,216.88 × 198,868
  4. Step 4: Simplify right side
    625,431.94x = 186,581,314,491.84
  5. Step 5: Solve for x
    x = 186,581,314,491.84/625,431.94
  6. Step 6: Final answer
    x = 298,323.93

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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.