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Finding the Fourth Proportional to 512,414.28, 707,118.30 and 282,988.26

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Solution

The fourth proportional to 512,414.28, 707,118.30 and 282,988.26 is: 390,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,414.28 : 707,118.30 = 282,988.26 : x
  2. Step 2: Convert to fraction form
    512,414.28/707,118.30 = 282,988.26/x
  3. Step 3: Cross multiply
    512,414.28x = 707,118.30 × 282,988.26
  4. Step 4: Simplify right side
    512,414.28x = 200,106,177,331.16
  5. Step 5: Solve for x
    x = 200,106,177,331.16/512,414.28
  6. Step 6: Final answer
    x = 390,516.39

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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.