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Finding the Fourth Proportional to 298,484.84, 447,619.74 and 98,768.36

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Solution

The fourth proportional to 298,484.84, 447,619.74 and 98,768.36 is: 148,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,484.84 : 447,619.74 = 98,768.36 : x
  2. Step 2: Convert to fraction form
    298,484.84/447,619.74 = 98,768.36/x
  3. Step 3: Cross multiply
    298,484.84x = 447,619.74 × 98,768.36
  4. Step 4: Simplify right side
    298,484.84x = 44,210,667,623.43
  5. Step 5: Solve for x
    x = 44,210,667,623.43/298,484.84
  6. Step 6: Final answer
    x = 148,116.96

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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.