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Finding the Fourth Proportional to 270,630.40, 405,971.20 and 73,638.40

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Solution

The fourth proportional to 270,630.40, 405,971.20 and 73,638.40 is: 110,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,630.40 : 405,971.20 = 73,638.40 : x
  2. Step 2: Convert to fraction form
    270,630.40/405,971.20 = 73,638.40/x
  3. Step 3: Cross multiply
    270,630.40x = 405,971.20 × 73,638.40
  4. Step 4: Simplify right side
    270,630.40x = 29,895,069,614.08
  5. Step 5: Solve for x
    x = 29,895,069,614.08/270,630.40
  6. Step 6: Final answer
    x = 110,464.57

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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.