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Finding the Fourth Proportional to 298,775.80, 447,892.44 and 149,061.88

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Solution

The fourth proportional to 298,775.80, 447,892.44 and 149,061.88 is: 223,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,775.80 : 447,892.44 = 149,061.88 : x
  2. Step 2: Convert to fraction form
    298,775.80/447,892.44 = 149,061.88/x
  3. Step 3: Cross multiply
    298,775.80x = 447,892.44 × 149,061.88
  4. Step 4: Simplify right side
    298,775.80x = 66,763,689,144.19
  5. Step 5: Solve for x
    x = 66,763,689,144.19/298,775.80
  6. Step 6: Final answer
    x = 223,457.49

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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.