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Finding the Fourth Proportional to 445,824, 668,774.88 and 113,400

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Solution

The fourth proportional to 445,824, 668,774.88 and 113,400 is: 170,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,824 : 668,774.88 = 113,400 : x
  2. Step 2: Convert to fraction form
    445,824/668,774.88 = 113,400/x
  3. Step 3: Cross multiply
    445,824x = 668,774.88 × 113,400
  4. Step 4: Simplify right side
    445,824x = 75,839,071,392
  5. Step 5: Solve for x
    x = 75,839,071,392/445,824
  6. Step 6: Final answer
    x = 170,109.89

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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.