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Finding the Fourth Proportional to 431,574, 595,629.84 and 247,884.84

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Solution

The fourth proportional to 431,574, 595,629.84 and 247,884.84 is: 342,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574 : 595,629.84 = 247,884.84 : x
  2. Step 2: Convert to fraction form
    431,574/595,629.84 = 247,884.84/x
  3. Step 3: Cross multiply
    431,574x = 595,629.84 × 247,884.84
  4. Step 4: Simplify right side
    431,574x = 147,647,607,587.63
  5. Step 5: Solve for x
    x = 147,647,607,587.63/431,574
  6. Step 6: Final answer
    x = 342,114.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.