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Finding the Fourth Proportional to 255,322, 382,983 and 68,328.64

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Solution

The fourth proportional to 255,322, 382,983 and 68,328.64 is: 102,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,322 : 382,983 = 68,328.64 : x
  2. Step 2: Convert to fraction form
    255,322/382,983 = 68,328.64/x
  3. Step 3: Cross multiply
    255,322x = 382,983 × 68,328.64
  4. Step 4: Simplify right side
    255,322x = 26,168,707,533.12
  5. Step 5: Solve for x
    x = 26,168,707,533.12/255,322
  6. Step 6: Final answer
    x = 102,492.96

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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.