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Finding the Fourth Proportional to 427,267, 641,009.94 and 161,029.72

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Solution

The fourth proportional to 427,267, 641,009.94 and 161,029.72 is: 241,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,267 : 641,009.94 = 161,029.72 : x
  2. Step 2: Convert to fraction form
    427,267/641,009.94 = 161,029.72/x
  3. Step 3: Cross multiply
    427,267x = 641,009.94 × 161,029.72
  4. Step 4: Simplify right side
    427,267x = 103,221,651,155.42
  5. Step 5: Solve for x
    x = 103,221,651,155.42/427,267
  6. Step 6: Final answer
    x = 241,585.83

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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.