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Finding the Fourth Proportional to 512,992.64, 707,928.36 and 286,638.32

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Solution

The fourth proportional to 512,992.64, 707,928.36 and 286,638.32 is: 395,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,992.64 : 707,928.36 = 286,638.32 : x
  2. Step 2: Convert to fraction form
    512,992.64/707,928.36 = 286,638.32/x
  3. Step 3: Cross multiply
    512,992.64x = 707,928.36 × 286,638.32
  4. Step 4: Simplify right side
    512,992.64x = 202,919,395,790.76
  5. Step 5: Solve for x
    x = 202,919,395,790.76/512,992.64
  6. Step 6: Final answer
    x = 395,560.05

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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.