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Finding the Fourth Proportional to 693,711.72, 957,476.61 and 421,722

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Solution

The fourth proportional to 693,711.72, 957,476.61 and 421,722 is: 582,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,711.72 : 957,476.61 = 421,722 : x
  2. Step 2: Convert to fraction form
    693,711.72/957,476.61 = 421,722/x
  3. Step 3: Cross multiply
    693,711.72x = 957,476.61 × 421,722
  4. Step 4: Simplify right side
    693,711.72x = 403,788,950,922.42
  5. Step 5: Solve for x
    x = 403,788,950,922.42/693,711.72
  6. Step 6: Final answer
    x = 582,070.25

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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.