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Finding the Fourth Proportional to 383,973.86, 575,493.78 and 271,686.50

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Solution

The fourth proportional to 383,973.86, 575,493.78 and 271,686.50 is: 407,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,973.86 : 575,493.78 = 271,686.50 : x
  2. Step 2: Convert to fraction form
    383,973.86/575,493.78 = 271,686.50/x
  3. Step 3: Cross multiply
    383,973.86x = 575,493.78 × 271,686.50
  4. Step 4: Simplify right side
    383,973.86x = 156,353,890,859.97
  5. Step 5: Solve for x
    x = 156,353,890,859.97/383,973.86
  6. Step 6: Final answer
    x = 407,199.31

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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.