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Finding the Fourth Proportional to 298,189.84, 447,428.29 and 148,443.22

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Solution

The fourth proportional to 298,189.84, 447,428.29 and 148,443.22 is: 222,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,189.84 : 447,428.29 = 148,443.22 : x
  2. Step 2: Convert to fraction form
    298,189.84/447,428.29 = 148,443.22/x
  3. Step 3: Cross multiply
    298,189.84x = 447,428.29 × 148,443.22
  4. Step 4: Simplify right side
    298,189.84x = 66,417,696,086.69
  5. Step 5: Solve for x
    x = 66,417,696,086.69/298,189.84
  6. Step 6: Final answer
    x = 222,736.28

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1.5x scale

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.