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Finding the Fourth Proportional to 395,176.46, 592,791.07 and 138,978.29

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Solution

The fourth proportional to 395,176.46, 592,791.07 and 138,978.29 is: 208,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,176.46 : 592,791.07 = 138,978.29 : x
  2. Step 2: Convert to fraction form
    395,176.46/592,791.07 = 138,978.29/x
  3. Step 3: Cross multiply
    395,176.46x = 592,791.07 × 138,978.29
  4. Step 4: Simplify right side
    395,176.46x = 82,385,089,235.87
  5. Step 5: Solve for x
    x = 82,385,089,235.87/395,176.46
  6. Step 6: Final answer
    x = 208,476.71

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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.