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Finding the Fourth Proportional to 327,978.60, 492,083.10 and 141,047.40

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Solution

The fourth proportional to 327,978.60, 492,083.10 and 141,047.40 is: 211,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,978.60 : 492,083.10 = 141,047.40 : x
  2. Step 2: Convert to fraction form
    327,978.60/492,083.10 = 141,047.40/x
  3. Step 3: Cross multiply
    327,978.60x = 492,083.10 × 141,047.40
  4. Step 4: Simplify right side
    327,978.60x = 69,407,041,838.94
  5. Step 5: Solve for x
    x = 69,407,041,838.94/327,978.60
  6. Step 6: Final answer
    x = 211,620.64

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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.