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Finding the Fourth Proportional to 512,450.31, 707,267.96 and 297,714.93

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Solution

The fourth proportional to 512,450.31, 707,267.96 and 297,714.93 is: 410,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,450.31 : 707,267.96 = 297,714.93 : x
  2. Step 2: Convert to fraction form
    512,450.31/707,267.96 = 297,714.93/x
  3. Step 3: Cross multiply
    512,450.31x = 707,267.96 × 297,714.93
  4. Step 4: Simplify right side
    512,450.31x = 210,564,229,714.07
  5. Step 5: Solve for x
    x = 210,564,229,714.07/512,450.31
  6. Step 6: Final answer
    x = 410,896.87

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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.