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Finding the Fourth Proportional to 512,871.23, 707,789.39 and 308,986.34

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Solution

The fourth proportional to 512,871.23, 707,789.39 and 308,986.34 is: 426,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,871.23 : 707,789.39 = 308,986.34 : x
  2. Step 2: Convert to fraction form
    512,871.23/707,789.39 = 308,986.34/x
  3. Step 3: Cross multiply
    512,871.23x = 707,789.39 × 308,986.34
  4. Step 4: Simplify right side
    512,871.23x = 218,697,248,023.05
  5. Step 5: Solve for x
    x = 218,697,248,023.05/512,871.23
  6. Step 6: Final answer
    x = 426,417.47

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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.