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Finding the Fourth Proportional to 298,168.98, 447,297.69 and 98,510.46

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Solution

The fourth proportional to 298,168.98, 447,297.69 and 98,510.46 is: 147,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,168.98 : 447,297.69 = 98,510.46 : x
  2. Step 2: Convert to fraction form
    298,168.98/447,297.69 = 98,510.46/x
  3. Step 3: Cross multiply
    298,168.98x = 447,297.69 × 98,510.46
  4. Step 4: Simplify right side
    298,168.98x = 44,063,501,198.84
  5. Step 5: Solve for x
    x = 44,063,501,198.84/298,168.98
  6. Step 6: Final answer
    x = 147,780.30

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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.