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Finding the Fourth Proportional to 418,684.80, 628,034.40 and 119,173.08

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Solution

The fourth proportional to 418,684.80, 628,034.40 and 119,173.08 is: 178,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,684.80 : 628,034.40 = 119,173.08 : x
  2. Step 2: Convert to fraction form
    418,684.80/628,034.40 = 119,173.08/x
  3. Step 3: Cross multiply
    418,684.80x = 628,034.40 × 119,173.08
  4. Step 4: Simplify right side
    418,684.80x = 74,844,793,793.95
  5. Step 5: Solve for x
    x = 74,844,793,793.95/418,684.80
  6. Step 6: Final answer
    x = 178,761.67

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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.