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Finding the Fourth Proportional to 371,658.88, 512,894.08 and 201,896

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Solution

The fourth proportional to 371,658.88, 512,894.08 and 201,896 is: 278,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,658.88 : 512,894.08 = 201,896 : x
  2. Step 2: Convert to fraction form
    371,658.88/512,894.08 = 201,896/x
  3. Step 3: Cross multiply
    371,658.88x = 512,894.08 × 201,896
  4. Step 4: Simplify right side
    371,658.88x = 103,551,263,175.68
  5. Step 5: Solve for x
    x = 103,551,263,175.68/371,658.88
  6. Step 6: Final answer
    x = 278,619.10

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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.