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Finding the Fourth Proportional to 256,187.84, 384,280.92 and 69,199.40

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Solution

The fourth proportional to 256,187.84, 384,280.92 and 69,199.40 is: 103,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,187.84 : 384,280.92 = 69,199.40 : x
  2. Step 2: Convert to fraction form
    256,187.84/384,280.92 = 69,199.40/x
  3. Step 3: Cross multiply
    256,187.84x = 384,280.92 × 69,199.40
  4. Step 4: Simplify right side
    256,187.84x = 26,592,009,095.45
  5. Step 5: Solve for x
    x = 26,592,009,095.45/256,187.84
  6. Step 6: Final answer
    x = 103,798.87

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