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Finding the Fourth Proportional to 219,407.09, 329,110.62 and 77,218.88

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Solution

The fourth proportional to 219,407.09, 329,110.62 and 77,218.88 is: 115,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,407.09 : 329,110.62 = 77,218.88 : x
  2. Step 2: Convert to fraction form
    219,407.09/329,110.62 = 77,218.88/x
  3. Step 3: Cross multiply
    219,407.09x = 329,110.62 × 77,218.88
  4. Step 4: Simplify right side
    219,407.09x = 25,413,551,826.95
  5. Step 5: Solve for x
    x = 25,413,551,826.95/219,407.09
  6. Step 6: Final answer
    x = 115,828.31

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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.