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Finding the Fourth Proportional to 444,985.96, 667,012.38 and 208,129

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Solution

The fourth proportional to 444,985.96, 667,012.38 and 208,129 is: 311,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,985.96 : 667,012.38 = 208,129 : x
  2. Step 2: Convert to fraction form
    444,985.96/667,012.38 = 208,129/x
  3. Step 3: Cross multiply
    444,985.96x = 667,012.38 × 208,129
  4. Step 4: Simplify right side
    444,985.96x = 138,824,619,637.02
  5. Step 5: Solve for x
    x = 138,824,619,637.02/444,985.96
  6. Step 6: Final answer
    x = 311,975.28

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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.