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Finding the Fourth Proportional to 416,604, 625,012.56 and 121,116

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Solution

The fourth proportional to 416,604, 625,012.56 and 121,116 is: 181,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,604 : 625,012.56 = 121,116 : x
  2. Step 2: Convert to fraction form
    416,604/625,012.56 = 121,116/x
  3. Step 3: Cross multiply
    416,604x = 625,012.56 × 121,116
  4. Step 4: Simplify right side
    416,604x = 75,699,021,216.96
  5. Step 5: Solve for x
    x = 75,699,021,216.96/416,604
  6. Step 6: Final answer
    x = 181,704.98

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Why These Related Problems?

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