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Finding the Fourth Proportional to 628,895.13, 943,490.31 and 208,171

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Solution

The fourth proportional to 628,895.13, 943,490.31 and 208,171 is: 312,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,895.13 : 943,490.31 = 208,171 : x
  2. Step 2: Convert to fraction form
    628,895.13/943,490.31 = 208,171/x
  3. Step 3: Cross multiply
    628,895.13x = 943,490.31 × 208,171
  4. Step 4: Simplify right side
    628,895.13x = 196,407,321,323.01
  5. Step 5: Solve for x
    x = 196,407,321,323.01/628,895.13
  6. Step 6: Final answer
    x = 312,305.36

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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.