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Finding the Fourth Proportional to 693,712.72, 957,477.99 and 421,723

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Solution

The fourth proportional to 693,712.72, 957,477.99 and 421,723 is: 582,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,712.72 : 957,477.99 = 421,723 : x
  2. Step 2: Convert to fraction form
    693,712.72/957,477.99 = 421,723/x
  3. Step 3: Cross multiply
    693,712.72x = 957,477.99 × 421,723
  4. Step 4: Simplify right side
    693,712.72x = 403,790,490,376.77
  5. Step 5: Solve for x
    x = 403,790,490,376.77/693,712.72
  6. Step 6: Final answer
    x = 582,071.63

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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.