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Finding the Fourth Proportional to 512,115.45, 706,719.37 and 282,672.80

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Solution

The fourth proportional to 512,115.45, 706,719.37 and 282,672.80 is: 390,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,115.45 : 706,719.37 = 282,672.80 : x
  2. Step 2: Convert to fraction form
    512,115.45/706,719.37 = 282,672.80/x
  3. Step 3: Cross multiply
    512,115.45x = 706,719.37 × 282,672.80
  4. Step 4: Simplify right side
    512,115.45x = 199,770,338,185.18
  5. Step 5: Solve for x
    x = 199,770,338,185.18/512,115.45
  6. Step 6: Final answer
    x = 390,088.48

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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.