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Finding the Fourth Proportional to 298,718.64, 447,024.96 and 186,451.56

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Solution

The fourth proportional to 298,718.64, 447,024.96 and 186,451.56 is: 279,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,718.64 : 447,024.96 = 186,451.56 : x
  2. Step 2: Convert to fraction form
    298,718.64/447,024.96 = 186,451.56/x
  3. Step 3: Cross multiply
    298,718.64x = 447,024.96 × 186,451.56
  4. Step 4: Simplify right side
    298,718.64x = 83,348,501,150.94
  5. Step 5: Solve for x
    x = 83,348,501,150.94/298,718.64
  6. Step 6: Final answer
    x = 279,020.09

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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.