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Finding the Fourth Proportional to 430,676.18, 646,058.46 and 164,660.43

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Solution

The fourth proportional to 430,676.18, 646,058.46 and 164,660.43 is: 247,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,676.18 : 646,058.46 = 164,660.43 : x
  2. Step 2: Convert to fraction form
    430,676.18/646,058.46 = 164,660.43/x
  3. Step 3: Cross multiply
    430,676.18x = 646,058.46 × 164,660.43
  4. Step 4: Simplify right side
    430,676.18x = 106,380,263,828.74
  5. Step 5: Solve for x
    x = 106,380,263,828.74/430,676.18
  6. Step 6: Final answer
    x = 247,007.54

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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.