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Finding the Fourth Proportional to 613,519.41, 920,328.32 and 214,151.34

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Solution

The fourth proportional to 613,519.41, 920,328.32 and 214,151.34 is: 321,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,519.41 : 920,328.32 = 214,151.34 : x
  2. Step 2: Convert to fraction form
    613,519.41/920,328.32 = 214,151.34/x
  3. Step 3: Cross multiply
    613,519.41x = 920,328.32 × 214,151.34
  4. Step 4: Simplify right side
    613,519.41x = 197,089,542,967.95
  5. Step 5: Solve for x
    x = 197,089,542,967.95/613,519.41
  6. Step 6: Final answer
    x = 321,244.19

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1.5x scale

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.