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Finding the Fourth Proportional to 280,006.57, 420,009.05 and 69,644.51

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Solution

The fourth proportional to 280,006.57, 420,009.05 and 69,644.51 is: 104,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,006.57 : 420,009.05 = 69,644.51 : x
  2. Step 2: Convert to fraction form
    280,006.57/420,009.05 = 69,644.51/x
  3. Step 3: Cross multiply
    280,006.57x = 420,009.05 × 69,644.51
  4. Step 4: Simplify right side
    280,006.57x = 29,251,322,556.88
  5. Step 5: Solve for x
    x = 29,251,322,556.88/280,006.57
  6. Step 6: Final answer
    x = 104,466.56

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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.