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Finding the Fourth Proportional to 280,668.88, 420,719.64 and 120,849.04

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Solution

The fourth proportional to 280,668.88, 420,719.64 and 120,849.04 is: 181,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,668.88 : 420,719.64 = 120,849.04 : x
  2. Step 2: Convert to fraction form
    280,668.88/420,719.64 = 120,849.04/x
  3. Step 3: Cross multiply
    280,668.88x = 420,719.64 × 120,849.04
  4. Step 4: Simplify right side
    280,668.88x = 50,843,564,603.15
  5. Step 5: Solve for x
    x = 50,843,564,603.15/280,668.88
  6. Step 6: Final answer
    x = 181,151.41

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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.