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Finding the Fourth Proportional to 628,616.82, 943,013.64 and 202,009.80

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Solution

The fourth proportional to 628,616.82, 943,013.64 and 202,009.80 is: 303,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,616.82 : 943,013.64 = 202,009.80 : x
  2. Step 2: Convert to fraction form
    628,616.82/943,013.64 = 202,009.80/x
  3. Step 3: Cross multiply
    628,616.82x = 943,013.64 × 202,009.80
  4. Step 4: Simplify right side
    628,616.82x = 190,497,996,813.67
  5. Step 5: Solve for x
    x = 190,497,996,813.67/628,616.82
  6. Step 6: Final answer
    x = 303,043.11

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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.