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Finding the Fourth Proportional to 427,586.76, 641,331 and 112,068.54

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Solution

The fourth proportional to 427,586.76, 641,331 and 112,068.54 is: 168,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,586.76 : 641,331 = 112,068.54 : x
  2. Step 2: Convert to fraction form
    427,586.76/641,331 = 112,068.54/x
  3. Step 3: Cross multiply
    427,586.76x = 641,331 × 112,068.54
  4. Step 4: Simplify right side
    427,586.76x = 71,873,028,826.74
  5. Step 5: Solve for x
    x = 71,873,028,826.74/427,586.76
  6. Step 6: Final answer
    x = 168,089.93

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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.