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Finding the Fourth Proportional to 209,515.20, 313,927.20 and 178,411.20

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Solution

The fourth proportional to 209,515.20, 313,927.20 and 178,411.20 is: 267,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.20 : 313,927.20 = 178,411.20 : x
  2. Step 2: Convert to fraction form
    209,515.20/313,927.20 = 178,411.20/x
  3. Step 3: Cross multiply
    209,515.20x = 313,927.20 × 178,411.20
  4. Step 4: Simplify right side
    209,515.20x = 56,008,128,464.64
  5. Step 5: Solve for x
    x = 56,008,128,464.64/209,515.20
  6. Step 6: Final answer
    x = 267,322.51

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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.