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Finding the Fourth Proportional to 270,960.28, 406,692.60 and 137,940.12

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Solution

The fourth proportional to 270,960.28, 406,692.60 and 137,940.12 is: 207,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,960.28 : 406,692.60 = 137,940.12 : x
  2. Step 2: Convert to fraction form
    270,960.28/406,692.60 = 137,940.12/x
  3. Step 3: Cross multiply
    270,960.28x = 406,692.60 × 137,940.12
  4. Step 4: Simplify right side
    270,960.28x = 56,099,226,047.11
  5. Step 5: Solve for x
    x = 56,099,226,047.11/270,960.28
  6. Step 6: Final answer
    x = 207,038.56

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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.