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Finding the Fourth Proportional to 219,584.72, 302,859.69 and 189,009.83

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Solution

The fourth proportional to 219,584.72, 302,859.69 and 189,009.83 is: 260,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,584.72 : 302,859.69 = 189,009.83 : x
  2. Step 2: Convert to fraction form
    219,584.72/302,859.69 = 189,009.83/x
  3. Step 3: Cross multiply
    219,584.72x = 302,859.69 × 189,009.83
  4. Step 4: Simplify right side
    219,584.72x = 57,243,458,520.75
  5. Step 5: Solve for x
    x = 57,243,458,520.75/219,584.72
  6. Step 6: Final answer
    x = 260,689.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.