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Finding the Fourth Proportional to 310,084.92, 428,504.58 and 264,138.12

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Solution

The fourth proportional to 310,084.92, 428,504.58 and 264,138.12 is: 365,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,084.92 : 428,504.58 = 264,138.12 : x
  2. Step 2: Convert to fraction form
    310,084.92/428,504.58 = 264,138.12/x
  3. Step 3: Cross multiply
    310,084.92x = 428,504.58 × 264,138.12
  4. Step 4: Simplify right side
    310,084.92x = 113,184,394,172.59
  5. Step 5: Solve for x
    x = 113,184,394,172.59/310,084.92
  6. Step 6: Final answer
    x = 365,010.96

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1.5x scale

Why These Related Problems?

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