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Finding the Fourth Proportional to 362,415.20, 543,428.40 and 151,815.20

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Solution

The fourth proportional to 362,415.20, 543,428.40 and 151,815.20 is: 227,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,415.20 : 543,428.40 = 151,815.20 : x
  2. Step 2: Convert to fraction form
    362,415.20/543,428.40 = 151,815.20/x
  3. Step 3: Cross multiply
    362,415.20x = 543,428.40 × 151,815.20
  4. Step 4: Simplify right side
    362,415.20x = 82,500,691,231.68
  5. Step 5: Solve for x
    x = 82,500,691,231.68/362,415.20
  6. Step 6: Final answer
    x = 227,641.37

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1.5x scale

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.