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Finding the Fourth Proportional to 298,270.95, 447,406.44 and 245,569.71

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Solution

The fourth proportional to 298,270.95, 447,406.44 and 245,569.71 is: 368,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.95 : 447,406.44 = 245,569.71 : x
  2. Step 2: Convert to fraction form
    298,270.95/447,406.44 = 245,569.71/x
  3. Step 3: Cross multiply
    298,270.95x = 447,406.44 × 245,569.71
  4. Step 4: Simplify right side
    298,270.95x = 109,869,469,722.93
  5. Step 5: Solve for x
    x = 109,869,469,722.93/298,270.95
  6. Step 6: Final answer
    x = 368,354.58

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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.