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Finding the Fourth Proportional to 270,181.95, 405,272.38 and 253,740.50

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Solution

The fourth proportional to 270,181.95, 405,272.38 and 253,740.50 is: 380,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,181.95 : 405,272.38 = 253,740.50 : x
  2. Step 2: Convert to fraction form
    270,181.95/405,272.38 = 253,740.50/x
  3. Step 3: Cross multiply
    270,181.95x = 405,272.38 × 253,740.50
  4. Step 4: Simplify right side
    270,181.95x = 102,834,014,311.03
  5. Step 5: Solve for x
    x = 102,834,014,311.03/270,181.95
  6. Step 6: Final answer
    x = 380,610.23

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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.