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Finding the Fourth Proportional to 307,954, 424,977.80 and 166,642

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Solution

The fourth proportional to 307,954, 424,977.80 and 166,642 is: 229,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,954 : 424,977.80 = 166,642 : x
  2. Step 2: Convert to fraction form
    307,954/424,977.80 = 166,642/x
  3. Step 3: Cross multiply
    307,954x = 424,977.80 × 166,642
  4. Step 4: Simplify right side
    307,954x = 70,819,150,547.60
  5. Step 5: Solve for x
    x = 70,819,150,547.60/307,954
  6. Step 6: Final answer
    x = 229,966.65

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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.