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Finding the Fourth Proportional to 296,719.80, 409,249.98 and 206,075.94

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Solution

The fourth proportional to 296,719.80, 409,249.98 and 206,075.94 is: 284,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,719.80 : 409,249.98 = 206,075.94 : x
  2. Step 2: Convert to fraction form
    296,719.80/409,249.98 = 206,075.94/x
  3. Step 3: Cross multiply
    296,719.80x = 409,249.98 × 206,075.94
  4. Step 4: Simplify right side
    296,719.80x = 84,336,574,323.48
  5. Step 5: Solve for x
    x = 84,336,574,323.48/296,719.80
  6. Step 6: Final answer
    x = 284,229.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.