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Finding the Fourth Proportional to 383,692.55, 575,538.41 and 103,209.80

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Solution

The fourth proportional to 383,692.55, 575,538.41 and 103,209.80 is: 154,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,692.55 : 575,538.41 = 103,209.80 : x
  2. Step 2: Convert to fraction form
    383,692.55/575,538.41 = 103,209.80/x
  3. Step 3: Cross multiply
    383,692.55x = 575,538.41 × 103,209.80
  4. Step 4: Simplify right side
    383,692.55x = 59,401,201,568.75
  5. Step 5: Solve for x
    x = 59,401,201,568.75/383,692.55
  6. Step 6: Final answer
    x = 154,814.58

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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.