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Finding the Fourth Proportional to 288,069.12, 397,424.52 and 180,451.80

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Solution

The fourth proportional to 288,069.12, 397,424.52 and 180,451.80 is: 248,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069.12 : 397,424.52 = 180,451.80 : x
  2. Step 2: Convert to fraction form
    288,069.12/397,424.52 = 180,451.80/x
  3. Step 3: Cross multiply
    288,069.12x = 397,424.52 × 180,451.80
  4. Step 4: Simplify right side
    288,069.12x = 71,715,969,998.14
  5. Step 5: Solve for x
    x = 71,715,969,998.14/288,069.12
  6. Step 6: Final answer
    x = 248,954.04

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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.