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Finding the Fourth Proportional to 519,722.30, 779,657.26 and 159,923

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Solution

The fourth proportional to 519,722.30, 779,657.26 and 159,923 is: 239,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,722.30 : 779,657.26 = 159,923 : x
  2. Step 2: Convert to fraction form
    519,722.30/779,657.26 = 159,923/x
  3. Step 3: Cross multiply
    519,722.30x = 779,657.26 × 159,923
  4. Step 4: Simplify right side
    519,722.30x = 124,685,127,990.98
  5. Step 5: Solve for x
    x = 124,685,127,990.98/519,722.30
  6. Step 6: Final answer
    x = 239,907.21

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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.