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Finding the Fourth Proportional to 307,711.63, 424,307.28 and 200,082.07

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Solution

The fourth proportional to 307,711.63, 424,307.28 and 200,082.07 is: 275,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.63 : 424,307.28 = 200,082.07 : x
  2. Step 2: Convert to fraction form
    307,711.63/424,307.28 = 200,082.07/x
  3. Step 3: Cross multiply
    307,711.63x = 424,307.28 × 200,082.07
  4. Step 4: Simplify right side
    307,711.63x = 84,896,280,179.16
  5. Step 5: Solve for x
    x = 84,896,280,179.16/307,711.63
  6. Step 6: Final answer
    x = 275,895.58

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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.