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Finding the Fourth Proportional to 383,971.86, 575,490.78 and 271,684.50

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Solution

The fourth proportional to 383,971.86, 575,490.78 and 271,684.50 is: 407,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,971.86 : 575,490.78 = 271,684.50 : x
  2. Step 2: Convert to fraction form
    383,971.86/575,490.78 = 271,684.50/x
  3. Step 3: Cross multiply
    383,971.86x = 575,490.78 × 271,684.50
  4. Step 4: Simplify right side
    383,971.86x = 156,351,924,818.91
  5. Step 5: Solve for x
    x = 156,351,924,818.91/383,971.86
  6. Step 6: Final answer
    x = 407,196.31

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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.