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Finding the Fourth Proportional to 270,174.80, 405,492.60 and 120,645.20

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Solution

The fourth proportional to 270,174.80, 405,492.60 and 120,645.20 is: 181,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,174.80 : 405,492.60 = 120,645.20 : x
  2. Step 2: Convert to fraction form
    270,174.80/405,492.60 = 120,645.20/x
  3. Step 3: Cross multiply
    270,174.80x = 405,492.60 × 120,645.20
  4. Step 4: Simplify right side
    270,174.80x = 48,920,735,825.52
  5. Step 5: Solve for x
    x = 48,920,735,825.52/270,174.80
  6. Step 6: Final answer
    x = 181,070.68

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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.