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Finding the Fourth Proportional to 428,093.44, 642,089.04 and 112,574.92

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Solution

The fourth proportional to 428,093.44, 642,089.04 and 112,574.92 is: 168,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,093.44 : 642,089.04 = 112,574.92 : x
  2. Step 2: Convert to fraction form
    428,093.44/642,089.04 = 112,574.92/x
  3. Step 3: Cross multiply
    428,093.44x = 642,089.04 × 112,574.92
  4. Step 4: Simplify right side
    428,093.44x = 72,283,122,310.88
  5. Step 5: Solve for x
    x = 72,283,122,310.88/428,093.44
  6. Step 6: Final answer
    x = 168,848.94

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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.