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Finding the Fourth Proportional to 667,071.77, 920,559.42 and 361,148.22

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Solution

The fourth proportional to 667,071.77, 920,559.42 and 361,148.22 is: 498,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,071.77 : 920,559.42 = 361,148.22 : x
  2. Step 2: Convert to fraction form
    667,071.77/920,559.42 = 361,148.22/x
  3. Step 3: Cross multiply
    667,071.77x = 920,559.42 × 361,148.22
  4. Step 4: Simplify right side
    667,071.77x = 332,458,395,937.23
  5. Step 5: Solve for x
    x = 332,458,395,937.23/667,071.77
  6. Step 6: Final answer
    x = 498,384.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.