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Finding the Fourth Proportional to 307,257.94, 423,775.60 and 199,862.27

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Solution

The fourth proportional to 307,257.94, 423,775.60 and 199,862.27 is: 275,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,257.94 : 423,775.60 = 199,862.27 : x
  2. Step 2: Convert to fraction form
    307,257.94/423,775.60 = 199,862.27/x
  3. Step 3: Cross multiply
    307,257.94x = 423,775.60 × 199,862.27
  4. Step 4: Simplify right side
    307,257.94x = 84,696,752,387.30
  5. Step 5: Solve for x
    x = 84,696,752,387.30/307,257.94
  6. Step 6: Final answer
    x = 275,653.58

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1.5x scale

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.