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Finding the Fourth Proportional to 693,719.64, 957,487.43 and 421,729.88

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Solution

The fourth proportional to 693,719.64, 957,487.43 and 421,729.88 is: 582,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,719.64 : 957,487.43 = 421,729.88 : x
  2. Step 2: Convert to fraction form
    693,719.64/957,487.43 = 421,729.88/x
  3. Step 3: Cross multiply
    693,719.64x = 957,487.43 × 421,729.88
  4. Step 4: Simplify right side
    693,719.64x = 403,801,055,222.30
  5. Step 5: Solve for x
    x = 403,801,055,222.30/693,719.64
  6. Step 6: Final answer
    x = 582,081.05

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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.