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Finding the Fourth Proportional to 428,151.96, 642,227.94 and 178,659

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Solution

The fourth proportional to 428,151.96, 642,227.94 and 178,659 is: 267,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,151.96 : 642,227.94 = 178,659 : x
  2. Step 2: Convert to fraction form
    428,151.96/642,227.94 = 178,659/x
  3. Step 3: Cross multiply
    428,151.96x = 642,227.94 × 178,659
  4. Step 4: Simplify right side
    428,151.96x = 114,739,801,532.46
  5. Step 5: Solve for x
    x = 114,739,801,532.46/428,151.96
  6. Step 6: Final answer
    x = 267,988.50

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Similar ratio
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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.