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Finding the Fourth Proportional to 412,493.96, 618,743.67 and 159,802.51

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Solution

The fourth proportional to 412,493.96, 618,743.67 and 159,802.51 is: 239,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,493.96 : 618,743.67 = 159,802.51 : x
  2. Step 2: Convert to fraction form
    412,493.96/618,743.67 = 159,802.51/x
  3. Step 3: Cross multiply
    412,493.96x = 618,743.67 × 159,802.51
  4. Step 4: Simplify right side
    412,493.96x = 98,876,791,512.61
  5. Step 5: Solve for x
    x = 98,876,791,512.61/412,493.96
  6. Step 6: Final answer
    x = 239,704.82

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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.