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Finding the Fourth Proportional to 298,314.84, 447,695.70 and 186,159

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Solution

The fourth proportional to 298,314.84, 447,695.70 and 186,159 is: 279,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,314.84 : 447,695.70 = 186,159 : x
  2. Step 2: Convert to fraction form
    298,314.84/447,695.70 = 186,159/x
  3. Step 3: Cross multiply
    298,314.84x = 447,695.70 × 186,159
  4. Step 4: Simplify right side
    298,314.84x = 83,342,583,816.30
  5. Step 5: Solve for x
    x = 83,342,583,816.30/298,314.84
  6. Step 6: Final answer
    x = 279,377.93

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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.