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Finding the Fourth Proportional to 310,004.80, 463,840.80 and 205,028.80

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Solution

The fourth proportional to 310,004.80, 463,840.80 and 205,028.80 is: 306,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,004.80 : 463,840.80 = 205,028.80 : x
  2. Step 2: Convert to fraction form
    310,004.80/463,840.80 = 205,028.80/x
  3. Step 3: Cross multiply
    310,004.80x = 463,840.80 × 205,028.80
  4. Step 4: Simplify right side
    310,004.80x = 95,100,722,615.04
  5. Step 5: Solve for x
    x = 95,100,722,615.04/310,004.80
  6. Step 6: Final answer
    x = 306,771.77

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1.5x scale

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.