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Finding the Fourth Proportional to 428,151.75, 641,210.67 and 277,926.72

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Solution

The fourth proportional to 428,151.75, 641,210.67 and 277,926.72 is: 416,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,151.75 : 641,210.67 = 277,926.72 : x
  2. Step 2: Convert to fraction form
    428,151.75/641,210.67 = 277,926.72/x
  3. Step 3: Cross multiply
    428,151.75x = 641,210.67 × 277,926.72
  4. Step 4: Simplify right side
    428,151.75x = 178,209,578,342.10
  5. Step 5: Solve for x
    x = 178,209,578,342.10/428,151.75
  6. Step 6: Final answer
    x = 416,229.94

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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.