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Finding the Fourth Proportional to 383,728.86, 575,645.76 and 130,941.36

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Solution

The fourth proportional to 383,728.86, 575,645.76 and 130,941.36 is: 196,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,728.86 : 575,645.76 = 130,941.36 : x
  2. Step 2: Convert to fraction form
    383,728.86/575,645.76 = 130,941.36/x
  3. Step 3: Cross multiply
    383,728.86x = 575,645.76 × 130,941.36
  4. Step 4: Simplify right side
    383,728.86x = 75,375,838,692.63
  5. Step 5: Solve for x
    x = 75,375,838,692.63/383,728.86
  6. Step 6: Final answer
    x = 196,429.94

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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.