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Finding the Fourth Proportional to 693,713.22, 957,478.68 and 421,723.50

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Solution

The fourth proportional to 693,713.22, 957,478.68 and 421,723.50 is: 582,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,713.22 : 957,478.68 = 421,723.50 : x
  2. Step 2: Convert to fraction form
    693,713.22/957,478.68 = 421,723.50/x
  3. Step 3: Cross multiply
    693,713.22x = 957,478.68 × 421,723.50
  4. Step 4: Simplify right side
    693,713.22x = 403,791,260,104.98
  5. Step 5: Solve for x
    x = 403,791,260,104.98/693,713.22
  6. Step 6: Final answer
    x = 582,072.32

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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.