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Finding the Fourth Proportional to 274,245.76, 411,342.72 and 87,224.32

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Solution

The fourth proportional to 274,245.76, 411,342.72 and 87,224.32 is: 130,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,245.76 : 411,342.72 = 87,224.32 : x
  2. Step 2: Convert to fraction form
    274,245.76/411,342.72 = 87,224.32/x
  3. Step 3: Cross multiply
    274,245.76x = 411,342.72 × 87,224.32
  4. Step 4: Simplify right side
    274,245.76x = 35,879,089,038.95
  5. Step 5: Solve for x
    x = 35,879,089,038.95/274,245.76
  6. Step 6: Final answer
    x = 130,828.24

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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.