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Finding the Fourth Proportional to 298,270.09, 447,475.21 and 98,590.48

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Solution

The fourth proportional to 298,270.09, 447,475.21 and 98,590.48 is: 147,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.09 : 447,475.21 = 98,590.48 : x
  2. Step 2: Convert to fraction form
    298,270.09/447,475.21 = 98,590.48/x
  3. Step 3: Cross multiply
    298,270.09x = 447,475.21 × 98,590.48
  4. Step 4: Simplify right side
    298,270.09x = 44,116,794,376.84
  5. Step 5: Solve for x
    x = 44,116,794,376.84/298,270.09
  6. Step 6: Final answer
    x = 147,908.88

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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.