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Finding the Fourth Proportional to 628,897.13, 943,493.31 and 208,173

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Solution

The fourth proportional to 628,897.13, 943,493.31 and 208,173 is: 312,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,897.13 : 943,493.31 = 208,173 : x
  2. Step 2: Convert to fraction form
    628,897.13/943,493.31 = 208,173/x
  3. Step 3: Cross multiply
    628,897.13x = 943,493.31 × 208,173
  4. Step 4: Simplify right side
    628,897.13x = 196,409,832,822.63
  5. Step 5: Solve for x
    x = 196,409,832,822.63/628,897.13
  6. Step 6: Final answer
    x = 312,308.36

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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.