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Finding the Fourth Proportional to 302,973.68, 418,087.41 and 166,980.56

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Solution

The fourth proportional to 302,973.68, 418,087.41 and 166,980.56 is: 230,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,973.68 : 418,087.41 = 166,980.56 : x
  2. Step 2: Convert to fraction form
    302,973.68/418,087.41 = 166,980.56/x
  3. Step 3: Cross multiply
    302,973.68x = 418,087.41 × 166,980.56
  4. Step 4: Simplify right side
    302,973.68x = 69,812,467,760.31
  5. Step 5: Solve for x
    x = 69,812,467,760.31/302,973.68
  6. Step 6: Final answer
    x = 230,424.20

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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.