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Finding the Fourth Proportional to 219,466.86, 329,338.69 and 86,329.82

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Solution

The fourth proportional to 219,466.86, 329,338.69 and 86,329.82 is: 129,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,466.86 : 329,338.69 = 86,329.82 : x
  2. Step 2: Convert to fraction form
    219,466.86/329,338.69 = 86,329.82/x
  3. Step 3: Cross multiply
    219,466.86x = 329,338.69 × 86,329.82
  4. Step 4: Simplify right side
    219,466.86x = 28,431,749,826.74
  5. Step 5: Solve for x
    x = 28,431,749,826.74/219,466.86
  6. Step 6: Final answer
    x = 129,549.17

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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.