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Finding the Fourth Proportional to 707,701, 1,061,731.32 and 209,065

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Solution

The fourth proportional to 707,701, 1,061,731.32 and 209,065 is: 313,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,701 : 1,061,731.32 = 209,065 : x
  2. Step 2: Convert to fraction form
    707,701/1,061,731.32 = 209,065/x
  3. Step 3: Cross multiply
    707,701x = 1,061,731.32 × 209,065
  4. Step 4: Simplify right side
    707,701x = 221,970,858,415.80
  5. Step 5: Solve for x
    x = 221,970,858,415.80/707,701
  6. Step 6: Final answer
    x = 313,650.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.