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Finding the Fourth Proportional to 412,645.73, 619,019.35 and 159,930.41

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Solution

The fourth proportional to 412,645.73, 619,019.35 and 159,930.41 is: 239,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,645.73 : 619,019.35 = 159,930.41 : x
  2. Step 2: Convert to fraction form
    412,645.73/619,019.35 = 159,930.41/x
  3. Step 3: Cross multiply
    412,645.73x = 619,019.35 × 159,930.41
  4. Step 4: Simplify right side
    412,645.73x = 99,000,014,948.51
  5. Step 5: Solve for x
    x = 99,000,014,948.51/412,645.73
  6. Step 6: Final answer
    x = 239,915.28

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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.