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Finding the Fourth Proportional to 280,775.00, 421,138.83 and 120,844.47

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Solution

The fourth proportional to 280,775.00, 421,138.83 and 120,844.47 is: 181,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,775.00 : 421,138.83 = 120,844.47 : x
  2. Step 2: Convert to fraction form
    280,775.00/421,138.83 = 120,844.47/x
  3. Step 3: Cross multiply
    280,775.00x = 421,138.83 × 120,844.47
  4. Step 4: Simplify right side
    280,775.00x = 50,892,298,707.77
  5. Step 5: Solve for x
    x = 50,892,298,707.77/280,775.00
  6. Step 6: Final answer
    x = 181,256.52

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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.