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Finding the Fourth Proportional to 382,832.64, 528,190.32 and 217,233.60

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Solution

The fourth proportional to 382,832.64, 528,190.32 and 217,233.60 is: 299,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,832.64 : 528,190.32 = 217,233.60 : x
  2. Step 2: Convert to fraction form
    382,832.64/528,190.32 = 217,233.60/x
  3. Step 3: Cross multiply
    382,832.64x = 528,190.32 × 217,233.60
  4. Step 4: Simplify right side
    382,832.64x = 114,740,684,698.75
  5. Step 5: Solve for x
    x = 114,740,684,698.75/382,832.64
  6. Step 6: Final answer
    x = 299,715.00

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