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Finding the Fourth Proportional to 628,904.14, 943,503.82 and 208,180

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Solution

The fourth proportional to 628,904.14, 943,503.82 and 208,180 is: 312,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,904.14 : 943,503.82 = 208,180 : x
  2. Step 2: Convert to fraction form
    628,904.14/943,503.82 = 208,180/x
  3. Step 3: Cross multiply
    628,904.14x = 943,503.82 × 208,180
  4. Step 4: Simplify right side
    628,904.14x = 196,418,625,247.60
  5. Step 5: Solve for x
    x = 196,418,625,247.60/628,904.14
  6. Step 6: Final answer
    x = 312,318.86

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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.