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Finding the Fourth Proportional to 628,707.14, 943,061 and 207,983

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Solution

The fourth proportional to 628,707.14, 943,061 and 207,983 is: 311,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,707.14 : 943,061 = 207,983 : x
  2. Step 2: Convert to fraction form
    628,707.14/943,061 = 207,983/x
  3. Step 3: Cross multiply
    628,707.14x = 943,061 × 207,983
  4. Step 4: Simplify right side
    628,707.14x = 196,140,655,963
  5. Step 5: Solve for x
    x = 196,140,655,963/628,707.14
  6. Step 6: Final answer
    x = 311,974.60

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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.