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Finding the Fourth Proportional to 209,419.20, 313,783.20 and 178,315.20

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Solution

The fourth proportional to 209,419.20, 313,783.20 and 178,315.20 is: 267,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,419.20 : 313,783.20 = 178,315.20 : x
  2. Step 2: Convert to fraction form
    209,419.20/313,783.20 = 178,315.20/x
  3. Step 3: Cross multiply
    209,419.20x = 313,783.20 × 178,315.20
  4. Step 4: Simplify right side
    209,419.20x = 55,952,314,064.64
  5. Step 5: Solve for x
    x = 55,952,314,064.64/209,419.20
  6. Step 6: Final answer
    x = 267,178.53

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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.