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Finding the Fourth Proportional to 307,980, 425,012.40 and 166,668

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Solution

The fourth proportional to 307,980, 425,012.40 and 166,668 is: 230,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,980 : 425,012.40 = 166,668 : x
  2. Step 2: Convert to fraction form
    307,980/425,012.40 = 166,668/x
  3. Step 3: Cross multiply
    307,980x = 425,012.40 × 166,668
  4. Step 4: Simplify right side
    307,980x = 70,835,966,683.20
  5. Step 5: Solve for x
    x = 70,835,966,683.20/307,980
  6. Step 6: Final answer
    x = 230,001.84

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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.