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Finding the Fourth Proportional to 371,603.24, 512,813.94 and 201,840.20

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Solution

The fourth proportional to 371,603.24, 512,813.94 and 201,840.20 is: 278,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,603.24 : 512,813.94 = 201,840.20 : x
  2. Step 2: Convert to fraction form
    371,603.24/512,813.94 = 201,840.20/x
  3. Step 3: Cross multiply
    371,603.24x = 512,813.94 × 201,840.20
  4. Step 4: Simplify right side
    371,603.24x = 103,506,468,212.39
  5. Step 5: Solve for x
    x = 103,506,468,212.39/371,603.24
  6. Step 6: Final answer
    x = 278,540.27

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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.