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Finding the Fourth Proportional to 334,485.48, 461,470.80 and 198,415.20

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Solution

The fourth proportional to 334,485.48, 461,470.80 and 198,415.20 is: 273,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,485.48 : 461,470.80 = 198,415.20 : x
  2. Step 2: Convert to fraction form
    334,485.48/461,470.80 = 198,415.20/x
  3. Step 3: Cross multiply
    334,485.48x = 461,470.80 × 198,415.20
  4. Step 4: Simplify right side
    334,485.48x = 91,562,821,076.16
  5. Step 5: Solve for x
    x = 91,562,821,076.16/334,485.48
  6. Step 6: Final answer
    x = 273,742.29

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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.