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Finding the Fourth Proportional to 219,804.20, 329,447.10 and 164,335.40

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Solution

The fourth proportional to 219,804.20, 329,447.10 and 164,335.40 is: 246,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,804.20 : 329,447.10 = 164,335.40 : x
  2. Step 2: Convert to fraction form
    219,804.20/329,447.10 = 164,335.40/x
  3. Step 3: Cross multiply
    219,804.20x = 329,447.10 × 164,335.40
  4. Step 4: Simplify right side
    219,804.20x = 54,139,820,957.34
  5. Step 5: Solve for x
    x = 54,139,820,957.34/219,804.20
  6. Step 6: Final answer
    x = 246,309.31

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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.