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Finding the Fourth Proportional to 270,412, 405,618.08 and 73,420

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Solution

The fourth proportional to 270,412, 405,618.08 and 73,420 is: 110,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,412 : 405,618.08 = 73,420 : x
  2. Step 2: Convert to fraction form
    270,412/405,618.08 = 73,420/x
  3. Step 3: Cross multiply
    270,412x = 405,618.08 × 73,420
  4. Step 4: Simplify right side
    270,412x = 29,780,479,433.60
  5. Step 5: Solve for x
    x = 29,780,479,433.60/270,412
  6. Step 6: Final answer
    x = 110,130.02

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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.