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Finding the Fourth Proportional to 298,072.65, 447,014.13 and 98,355.81

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Solution

The fourth proportional to 298,072.65, 447,014.13 and 98,355.81 is: 147,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,072.65 : 447,014.13 = 98,355.81 : x
  2. Step 2: Convert to fraction form
    298,072.65/447,014.13 = 98,355.81/x
  3. Step 3: Cross multiply
    298,072.65x = 447,014.13 × 98,355.81
  4. Step 4: Simplify right side
    298,072.65x = 43,966,436,837.60
  5. Step 5: Solve for x
    x = 43,966,436,837.60/298,072.65
  6. Step 6: Final answer
    x = 147,502.42

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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.