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Finding the Fourth Proportional to 270,492.80, 405,739.20 and 270,492.80

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Solution

The fourth proportional to 270,492.80, 405,739.20 and 270,492.80 is: 405,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,492.80 : 405,739.20 = 270,492.80 : x
  2. Step 2: Convert to fraction form
    270,492.80/405,739.20 = 270,492.80/x
  3. Step 3: Cross multiply
    270,492.80x = 405,739.20 × 270,492.80
  4. Step 4: Simplify right side
    270,492.80x = 109,749,532,277.76
  5. Step 5: Solve for x
    x = 109,749,532,277.76/270,492.80
  6. Step 6: Final answer
    x = 405,739.20

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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.