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Finding the Fourth Proportional to 427,563.84, 641,339.04 and 147,083.52

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Solution

The fourth proportional to 427,563.84, 641,339.04 and 147,083.52 is: 220,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,563.84 : 641,339.04 = 147,083.52 : x
  2. Step 2: Convert to fraction form
    427,563.84/641,339.04 = 147,083.52/x
  3. Step 3: Cross multiply
    427,563.84x = 641,339.04 × 147,083.52
  4. Step 4: Simplify right side
    427,563.84x = 94,330,403,516.62
  5. Step 5: Solve for x
    x = 94,330,403,516.62/427,563.84
  6. Step 6: Final answer
    x = 220,622.97

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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.