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Finding the Fourth Proportional to 427,764.82, 641,598 and 112,246.34

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Solution

The fourth proportional to 427,764.82, 641,598 and 112,246.34 is: 168,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,764.82 : 641,598 = 112,246.34 : x
  2. Step 2: Convert to fraction form
    427,764.82/641,598 = 112,246.34/x
  3. Step 3: Cross multiply
    427,764.82x = 641,598 × 112,246.34
  4. Step 4: Simplify right side
    427,764.82x = 72,017,027,251.32
  5. Step 5: Solve for x
    x = 72,017,027,251.32/427,764.82
  6. Step 6: Final answer
    x = 168,356.59

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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.