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Finding the Fourth Proportional to 298,780.80, 447,899.94 and 149,066.88

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Solution

The fourth proportional to 298,780.80, 447,899.94 and 149,066.88 is: 223,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,780.80 : 447,899.94 = 149,066.88 : x
  2. Step 2: Convert to fraction form
    298,780.80/447,899.94 = 149,066.88/x
  3. Step 3: Cross multiply
    298,780.80x = 447,899.94 × 149,066.88
  4. Step 4: Simplify right side
    298,780.80x = 66,767,046,607.99
  5. Step 5: Solve for x
    x = 66,767,046,607.99/298,780.80
  6. Step 6: Final answer
    x = 223,464.98

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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.