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Finding the Fourth Proportional to 512,976.64, 707,906.28 and 286,622.32

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Solution

The fourth proportional to 512,976.64, 707,906.28 and 286,622.32 is: 395,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,976.64 : 707,906.28 = 286,622.32 : x
  2. Step 2: Convert to fraction form
    512,976.64/707,906.28 = 286,622.32/x
  3. Step 3: Cross multiply
    512,976.64x = 707,906.28 × 286,622.32
  4. Step 4: Simplify right side
    512,976.64x = 202,901,740,316.17
  5. Step 5: Solve for x
    x = 202,901,740,316.17/512,976.64
  6. Step 6: Final answer
    x = 395,537.97

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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.