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Finding the Fourth Proportional to 647,980.11, 971,933.83 and 198,699.75

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Solution

The fourth proportional to 647,980.11, 971,933.83 and 198,699.75 is: 298,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,980.11 : 971,933.83 = 198,699.75 : x
  2. Step 2: Convert to fraction form
    647,980.11/971,933.83 = 198,699.75/x
  3. Step 3: Cross multiply
    647,980.11x = 971,933.83 × 198,699.75
  4. Step 4: Simplify right side
    647,980.11x = 193,123,005,558.13
  5. Step 5: Solve for x
    x = 193,123,005,558.13/647,980.11
  6. Step 6: Final answer
    x = 298,038.48

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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.