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Finding the Fourth Proportional to 512,908, 707,800 and 286,555.20

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Solution

The fourth proportional to 512,908, 707,800 and 286,555.20 is: 395,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,908 : 707,800 = 286,555.20 : x
  2. Step 2: Convert to fraction form
    512,908/707,800 = 286,555.20/x
  3. Step 3: Cross multiply
    512,908x = 707,800 × 286,555.20
  4. Step 4: Simplify right side
    512,908x = 202,823,770,560
  5. Step 5: Solve for x
    x = 202,823,770,560/512,908
  6. Step 6: Final answer
    x = 395,438.89

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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.