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Finding the Fourth Proportional to 512,162.79, 707,023.80 and 297,261.33

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Solution

The fourth proportional to 512,162.79, 707,023.80 and 297,261.33 is: 410,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,162.79 : 707,023.80 = 297,261.33 : x
  2. Step 2: Convert to fraction form
    512,162.79/707,023.80 = 297,261.33/x
  3. Step 3: Cross multiply
    512,162.79x = 707,023.80 × 297,261.33
  4. Step 4: Simplify right side
    512,162.79x = 210,170,835,129.65
  5. Step 5: Solve for x
    x = 210,170,835,129.65/512,162.79
  6. Step 6: Final answer
    x = 410,359.44

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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.