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Finding the Fourth Proportional to 418,066.44, 576,538.74 and 322,421.64

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Solution

The fourth proportional to 418,066.44, 576,538.74 and 322,421.64 is: 444,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,066.44 : 576,538.74 = 322,421.64 : x
  2. Step 2: Convert to fraction form
    418,066.44/576,538.74 = 322,421.64/x
  3. Step 3: Cross multiply
    418,066.44x = 576,538.74 × 322,421.64
  4. Step 4: Simplify right side
    418,066.44x = 185,888,566,074.33
  5. Step 5: Solve for x
    x = 185,888,566,074.33/418,066.44
  6. Step 6: Final answer
    x = 444,638.81

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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.