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Finding the Fourth Proportional to 417,030, 625,660.20 and 121,542

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Solution

The fourth proportional to 417,030, 625,660.20 and 121,542 is: 182,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,030 : 625,660.20 = 121,542 : x
  2. Step 2: Convert to fraction form
    417,030/625,660.20 = 121,542/x
  3. Step 3: Cross multiply
    417,030x = 625,660.20 × 121,542
  4. Step 4: Simplify right side
    417,030x = 76,043,992,028.40
  5. Step 5: Solve for x
    x = 76,043,992,028.40/417,030
  6. Step 6: Final answer
    x = 182,346.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.