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Finding the Fourth Proportional to 274,498.75, 378,808.16 and 153,640.01

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Solution

The fourth proportional to 274,498.75, 378,808.16 and 153,640.01 is: 212,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,498.75 : 378,808.16 = 153,640.01 : x
  2. Step 2: Convert to fraction form
    274,498.75/378,808.16 = 153,640.01/x
  3. Step 3: Cross multiply
    274,498.75x = 378,808.16 × 153,640.01
  4. Step 4: Simplify right side
    274,498.75x = 58,200,089,669.30
  5. Step 5: Solve for x
    x = 58,200,089,669.30/274,498.75
  6. Step 6: Final answer
    x = 212,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.