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Finding the Fourth Proportional to 307,712.63, 424,308.66 and 200,083.07

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Solution

The fourth proportional to 307,712.63, 424,308.66 and 200,083.07 is: 275,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,712.63 : 424,308.66 = 200,083.07 : x
  2. Step 2: Convert to fraction form
    307,712.63/424,308.66 = 200,083.07/x
  3. Step 3: Cross multiply
    307,712.63x = 424,308.66 × 200,083.07
  4. Step 4: Simplify right side
    307,712.63x = 84,896,979,320.39
  5. Step 5: Solve for x
    x = 84,896,979,320.39/307,712.63
  6. Step 6: Final answer
    x = 275,896.96

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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.