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Finding the Fourth Proportional to 352,114.40, 485,908.64 and 201,211.36

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Solution

The fourth proportional to 352,114.40, 485,908.64 and 201,211.36 is: 277,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,114.40 : 485,908.64 = 201,211.36 : x
  2. Step 2: Convert to fraction form
    352,114.40/485,908.64 = 201,211.36/x
  3. Step 3: Cross multiply
    352,114.40x = 485,908.64 × 201,211.36
  4. Step 4: Simplify right side
    352,114.40x = 97,770,338,290.15
  5. Step 5: Solve for x
    x = 97,770,338,290.15/352,114.40
  6. Step 6: Final answer
    x = 277,666.40

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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.