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Finding the Fourth Proportional to 298,784.70, 447,838.07 and 186,515.06

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Solution

The fourth proportional to 298,784.70, 447,838.07 and 186,515.06 is: 279,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,784.70 : 447,838.07 = 186,515.06 : x
  2. Step 2: Convert to fraction form
    298,784.70/447,838.07 = 186,515.06/x
  3. Step 3: Cross multiply
    298,784.70x = 447,838.07 × 186,515.06
  4. Step 4: Simplify right side
    298,784.70x = 83,528,541,324.57
  5. Step 5: Solve for x
    x = 83,528,541,324.57/298,784.70
  6. Step 6: Final answer
    x = 279,560.97

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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.