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Finding the Fourth Proportional to 412,638.71, 618,828.66 and 159,901.70

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Solution

The fourth proportional to 412,638.71, 618,828.66 and 159,901.70 is: 239,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,638.71 : 618,828.66 = 159,901.70 : x
  2. Step 2: Convert to fraction form
    412,638.71/618,828.66 = 159,901.70/x
  3. Step 3: Cross multiply
    412,638.71x = 618,828.66 × 159,901.70
  4. Step 4: Simplify right side
    412,638.71x = 98,951,751,648.58
  5. Step 5: Solve for x
    x = 98,951,751,648.58/412,638.71
  6. Step 6: Final answer
    x = 239,802.40

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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.