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Finding the Fourth Proportional to 383,862.30, 575,793.45 and 271,669.20

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Solution

The fourth proportional to 383,862.30, 575,793.45 and 271,669.20 is: 407,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,862.30 : 575,793.45 = 271,669.20 : x
  2. Step 2: Convert to fraction form
    383,862.30/575,793.45 = 271,669.20/x
  3. Step 3: Cross multiply
    383,862.30x = 575,793.45 × 271,669.20
  4. Step 4: Simplify right side
    383,862.30x = 156,425,345,926.74
  5. Step 5: Solve for x
    x = 156,425,345,926.74/383,862.30
  6. Step 6: Final answer
    x = 407,503.80

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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.