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Finding the Fourth Proportional to 270,128.40, 405,213.11 and 80,573.93

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Solution

The fourth proportional to 270,128.40, 405,213.11 and 80,573.93 is: 120,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,128.40 : 405,213.11 = 80,573.93 : x
  2. Step 2: Convert to fraction form
    270,128.40/405,213.11 = 80,573.93/x
  3. Step 3: Cross multiply
    270,128.40x = 405,213.11 × 80,573.93
  4. Step 4: Simplify right side
    270,128.40x = 32,649,610,331.29
  5. Step 5: Solve for x
    x = 32,649,610,331.29/270,128.40
  6. Step 6: Final answer
    x = 120,867.00

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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.