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Finding the Fourth Proportional to 288,112.80, 432,169.20 and 218,128.80

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Solution

The fourth proportional to 288,112.80, 432,169.20 and 218,128.80 is: 327,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,112.80 : 432,169.20 = 218,128.80 : x
  2. Step 2: Convert to fraction form
    288,112.80/432,169.20 = 218,128.80/x
  3. Step 3: Cross multiply
    288,112.80x = 432,169.20 × 218,128.80
  4. Step 4: Simplify right side
    288,112.80x = 94,268,548,992.96
  5. Step 5: Solve for x
    x = 94,268,548,992.96/288,112.80
  6. Step 6: Final answer
    x = 327,193.20

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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.