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Finding the Fourth Proportional to 307,583.38, 424,200 and 200,114.20

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Solution

The fourth proportional to 307,583.38, 424,200 and 200,114.20 is: 275,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,583.38 : 424,200 = 200,114.20 : x
  2. Step 2: Convert to fraction form
    307,583.38/424,200 = 200,114.20/x
  3. Step 3: Cross multiply
    307,583.38x = 424,200 × 200,114.20
  4. Step 4: Simplify right side
    307,583.38x = 84,888,443,640
  5. Step 5: Solve for x
    x = 84,888,443,640/307,583.38
  6. Step 6: Final answer
    x = 275,985.14

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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.