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Finding the Fourth Proportional to 371,278.80, 512,361.60 and 201,509.28

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Solution

The fourth proportional to 371,278.80, 512,361.60 and 201,509.28 is: 278,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,278.80 : 512,361.60 = 201,509.28 : x
  2. Step 2: Convert to fraction form
    371,278.80/512,361.60 = 201,509.28/x
  3. Step 3: Cross multiply
    371,278.80x = 512,361.60 × 201,509.28
  4. Step 4: Simplify right side
    371,278.80x = 103,245,617,115.65
  5. Step 5: Solve for x
    x = 103,245,617,115.65/371,278.80
  6. Step 6: Final answer
    x = 278,081.10

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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.