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Finding the Fourth Proportional to 512,419.24, 707,131.15 and 282,986.23

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Solution

The fourth proportional to 512,419.24, 707,131.15 and 282,986.23 is: 390,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419.24 : 707,131.15 = 282,986.23 : x
  2. Step 2: Convert to fraction form
    512,419.24/707,131.15 = 282,986.23/x
  3. Step 3: Cross multiply
    512,419.24x = 707,131.15 × 282,986.23
  4. Step 4: Simplify right side
    512,419.24x = 200,108,378,696.44
  5. Step 5: Solve for x
    x = 200,108,378,696.44/512,419.24
  6. Step 6: Final answer
    x = 390,516.91

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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.