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Finding the Fourth Proportional to 362,090.20, 543,135.30 and 194,128.60

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Solution

The fourth proportional to 362,090.20, 543,135.30 and 194,128.60 is: 291,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,090.20 : 543,135.30 = 194,128.60 : x
  2. Step 2: Convert to fraction form
    362,090.20/543,135.30 = 194,128.60/x
  3. Step 3: Cross multiply
    362,090.20x = 543,135.30 × 194,128.60
  4. Step 4: Simplify right side
    362,090.20x = 105,438,095,399.58
  5. Step 5: Solve for x
    x = 105,438,095,399.58/362,090.20
  6. Step 6: Final answer
    x = 291,192.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.