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Finding the Fourth Proportional to 302,911.74, 418,021.20 and 166,950.72

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Solution

The fourth proportional to 302,911.74, 418,021.20 and 166,950.72 is: 230,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,911.74 : 418,021.20 = 166,950.72 : x
  2. Step 2: Convert to fraction form
    302,911.74/418,021.20 = 166,950.72/x
  3. Step 3: Cross multiply
    302,911.74x = 418,021.20 × 166,950.72
  4. Step 4: Simplify right side
    302,911.74x = 69,788,940,315.26
  5. Step 5: Solve for x
    x = 69,788,940,315.26/302,911.74
  6. Step 6: Final answer
    x = 230,393.65

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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.