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Finding the Fourth Proportional to 307,688.40, 424,464.39 and 200,219.22

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Solution

The fourth proportional to 307,688.40, 424,464.39 and 200,219.22 is: 276,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,688.40 : 424,464.39 = 200,219.22 : x
  2. Step 2: Convert to fraction form
    307,688.40/424,464.39 = 200,219.22/x
  3. Step 3: Cross multiply
    307,688.40x = 424,464.39 × 200,219.22
  4. Step 4: Simplify right side
    307,688.40x = 84,985,929,083.58
  5. Step 5: Solve for x
    x = 84,985,929,083.58/307,688.40
  6. Step 6: Final answer
    x = 276,207.78

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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.