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Finding the Fourth Proportional to 512,940.06, 707,842.80 and 286,585.56

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Solution

The fourth proportional to 512,940.06, 707,842.80 and 286,585.56 is: 395,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,940.06 : 707,842.80 = 286,585.56 : x
  2. Step 2: Convert to fraction form
    512,940.06/707,842.80 = 286,585.56/x
  3. Step 3: Cross multiply
    512,940.06x = 707,842.80 × 286,585.56
  4. Step 4: Simplify right side
    512,940.06x = 202,857,525,229.97
  5. Step 5: Solve for x
    x = 202,857,525,229.97/512,940.06
  6. Step 6: Final answer
    x = 395,479.98

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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.