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Finding the Fourth Proportional to 299,979.42, 449,969.16 and 207,075.66

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Solution

The fourth proportional to 299,979.42, 449,969.16 and 207,075.66 is: 310,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,979.42 : 449,969.16 = 207,075.66 : x
  2. Step 2: Convert to fraction form
    299,979.42/449,969.16 = 207,075.66/x
  3. Step 3: Cross multiply
    299,979.42x = 449,969.16 × 207,075.66
  4. Step 4: Simplify right side
    299,979.42x = 93,177,660,786.65
  5. Step 5: Solve for x
    x = 93,177,660,786.65/299,979.42
  6. Step 6: Final answer
    x = 310,613.51

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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.