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Finding the Fourth Proportional to 219,078.52, 328,617.80 and 52,866.52

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Solution

The fourth proportional to 219,078.52, 328,617.80 and 52,866.52 is: 79,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,078.52 : 328,617.80 = 52,866.52 : x
  2. Step 2: Convert to fraction form
    219,078.52/328,617.80 = 52,866.52/x
  3. Step 3: Cross multiply
    219,078.52x = 328,617.80 × 52,866.52
  4. Step 4: Simplify right side
    219,078.52x = 17,372,879,496.06
  5. Step 5: Solve for x
    x = 17,372,879,496.06/219,078.52
  6. Step 6: Final answer
    x = 79,299.78

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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.