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Finding the Fourth Proportional to 433,070.64, 649,692.31 and 133,538.21

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Solution

The fourth proportional to 433,070.64, 649,692.31 and 133,538.21 is: 200,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,070.64 : 649,692.31 = 133,538.21 : x
  2. Step 2: Convert to fraction form
    433,070.64/649,692.31 = 133,538.21/x
  3. Step 3: Cross multiply
    433,070.64x = 649,692.31 × 133,538.21
  4. Step 4: Simplify right side
    433,070.64x = 86,758,749,418.55
  5. Step 5: Solve for x
    x = 86,758,749,418.55/433,070.64
  6. Step 6: Final answer
    x = 200,333.94

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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.