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Finding the Fourth Proportional to 307,838, 461,420.76 and 195,568.40

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Solution

The fourth proportional to 307,838, 461,420.76 and 195,568.40 is: 293,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,838 : 461,420.76 = 195,568.40 : x
  2. Step 2: Convert to fraction form
    307,838/461,420.76 = 195,568.40/x
  3. Step 3: Cross multiply
    307,838x = 461,420.76 × 195,568.40
  4. Step 4: Simplify right side
    307,838x = 90,239,319,759.98
  5. Step 5: Solve for x
    x = 90,239,319,759.98/307,838
  6. Step 6: Final answer
    x = 293,138.99

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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.