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Finding the Fourth Proportional to 298,338.73, 447,509.31 and 120,849.10

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Solution

The fourth proportional to 298,338.73, 447,509.31 and 120,849.10 is: 181,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,338.73 : 447,509.31 = 120,849.10 : x
  2. Step 2: Convert to fraction form
    298,338.73/447,509.31 = 120,849.10/x
  3. Step 3: Cross multiply
    298,338.73x = 447,509.31 × 120,849.10
  4. Step 4: Simplify right side
    298,338.73x = 54,081,095,783.16
  5. Step 5: Solve for x
    x = 54,081,095,783.16/298,338.73
  6. Step 6: Final answer
    x = 181,274.14

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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.