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Finding the Fourth Proportional to 209,238, 313,995.24 and 98,438.64

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Solution

The fourth proportional to 209,238, 313,995.24 and 98,438.64 is: 147,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,238 : 313,995.24 = 98,438.64 : x
  2. Step 2: Convert to fraction form
    209,238/313,995.24 = 98,438.64/x
  3. Step 3: Cross multiply
    209,238x = 313,995.24 × 98,438.64
  4. Step 4: Simplify right side
    209,238x = 30,909,264,392.07
  5. Step 5: Solve for x
    x = 30,909,264,392.07/209,238
  6. Step 6: Final answer
    x = 147,723.00

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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.