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Finding the Fourth Proportional to 380,079.90, 569,791.80 and 193,091.40

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Solution

The fourth proportional to 380,079.90, 569,791.80 and 193,091.40 is: 289,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,079.90 : 569,791.80 = 193,091.40 : x
  2. Step 2: Convert to fraction form
    380,079.90/569,791.80 = 193,091.40/x
  3. Step 3: Cross multiply
    380,079.90x = 569,791.80 × 193,091.40
  4. Step 4: Simplify right side
    380,079.90x = 110,021,896,370.52
  5. Step 5: Solve for x
    x = 110,021,896,370.52/380,079.90
  6. Step 6: Final answer
    x = 289,470.44

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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.