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Finding the Fourth Proportional to 288,039.12, 397,383.12 and 180,421.80

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Solution

The fourth proportional to 288,039.12, 397,383.12 and 180,421.80 is: 248,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,039.12 : 397,383.12 = 180,421.80 : x
  2. Step 2: Convert to fraction form
    288,039.12/397,383.12 = 180,421.80/x
  3. Step 3: Cross multiply
    288,039.12x = 397,383.12 × 180,421.80
  4. Step 4: Simplify right side
    288,039.12x = 71,696,577,800.02
  5. Step 5: Solve for x
    x = 71,696,577,800.02/288,039.12
  6. Step 6: Final answer
    x = 248,912.64

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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.