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Finding the Fourth Proportional to 379,760, 569,764.80 and 155,309.32

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Solution

The fourth proportional to 379,760, 569,764.80 and 155,309.32 is: 233,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,760 : 569,764.80 = 155,309.32 : x
  2. Step 2: Convert to fraction form
    379,760/569,764.80 = 155,309.32/x
  3. Step 3: Cross multiply
    379,760x = 569,764.80 × 155,309.32
  4. Step 4: Simplify right side
    379,760x = 88,489,783,647.94
  5. Step 5: Solve for x
    x = 88,489,783,647.94/379,760
  6. Step 6: Final answer
    x = 233,015.02

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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.