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Finding the Fourth Proportional to 302,138.49, 416,942.33 and 166,171.89

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Solution

The fourth proportional to 302,138.49, 416,942.33 and 166,171.89 is: 229,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,138.49 : 416,942.33 = 166,171.89 : x
  2. Step 2: Convert to fraction form
    302,138.49/416,942.33 = 166,171.89/x
  3. Step 3: Cross multiply
    302,138.49x = 416,942.33 × 166,171.89
  4. Step 4: Simplify right side
    302,138.49x = 69,284,094,166.24
  5. Step 5: Solve for x
    x = 69,284,094,166.24/302,138.49
  6. Step 6: Final answer
    x = 229,312.37

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1.5x scale

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.