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Finding the Fourth Proportional to 428,156.28, 642,324.60 and 161,910.90

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Solution

The fourth proportional to 428,156.28, 642,324.60 and 161,910.90 is: 242,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,156.28 : 642,324.60 = 161,910.90 : x
  2. Step 2: Convert to fraction form
    428,156.28/642,324.60 = 161,910.90/x
  3. Step 3: Cross multiply
    428,156.28x = 642,324.60 × 161,910.90
  4. Step 4: Simplify right side
    428,156.28x = 103,999,353,268.59
  5. Step 5: Solve for x
    x = 103,999,353,268.59/428,156.28
  6. Step 6: Final answer
    x = 242,900.45

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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.