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Finding the Fourth Proportional to 512,268.08, 706,926.12 and 282,825.32

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Solution

The fourth proportional to 512,268.08, 706,926.12 and 282,825.32 is: 390,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,268.08 : 706,926.12 = 282,825.32 : x
  2. Step 2: Convert to fraction form
    512,268.08/706,926.12 = 282,825.32/x
  3. Step 3: Cross multiply
    512,268.08x = 706,926.12 × 282,825.32
  4. Step 4: Simplify right side
    512,268.08x = 199,936,606,105.36
  5. Step 5: Solve for x
    x = 199,936,606,105.36/512,268.08
  6. Step 6: Final answer
    x = 390,296.83

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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.