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Finding the Fourth Proportional to 428,054.76, 642,033.54 and 112,536.27

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Solution

The fourth proportional to 428,054.76, 642,033.54 and 112,536.27 is: 168,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,054.76 : 642,033.54 = 112,536.27 : x
  2. Step 2: Convert to fraction form
    428,054.76/642,033.54 = 112,536.27/x
  3. Step 3: Cross multiply
    428,054.76x = 642,033.54 × 112,536.27
  4. Step 4: Simplify right side
    428,054.76x = 72,252,059,806.50
  5. Step 5: Solve for x
    x = 72,252,059,806.50/428,054.76
  6. Step 6: Final answer
    x = 168,791.63

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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.