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Finding the Fourth Proportional to 269,859.60, 403,090.29 and 198,147.87

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Solution

The fourth proportional to 269,859.60, 403,090.29 and 198,147.87 is: 295,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,859.60 : 403,090.29 = 198,147.87 : x
  2. Step 2: Convert to fraction form
    269,859.60/403,090.29 = 198,147.87/x
  3. Step 3: Cross multiply
    269,859.60x = 403,090.29 × 198,147.87
  4. Step 4: Simplify right side
    269,859.60x = 79,871,482,381.18
  5. Step 5: Solve for x
    x = 79,871,482,381.18/269,859.60
  6. Step 6: Final answer
    x = 295,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.