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Finding the Fourth Proportional to 512,371.34, 707,078.25 and 282,928.31

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Solution

The fourth proportional to 512,371.34, 707,078.25 and 282,928.31 is: 390,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,371.34 : 707,078.25 = 282,928.31 : x
  2. Step 2: Convert to fraction form
    512,371.34/707,078.25 = 282,928.31/x
  3. Step 3: Cross multiply
    512,371.34x = 707,078.25 × 282,928.31
  4. Step 4: Simplify right side
    512,371.34x = 200,052,449,360.23
  5. Step 5: Solve for x
    x = 200,052,449,360.23/512,371.34
  6. Step 6: Final answer
    x = 390,444.27

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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.