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Finding the Fourth Proportional to 613,063.32, 846,144.42 and 405,966.57

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Solution

The fourth proportional to 613,063.32, 846,144.42 and 405,966.57 is: 560,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,063.32 : 846,144.42 = 405,966.57 : x
  2. Step 2: Convert to fraction form
    613,063.32/846,144.42 = 405,966.57/x
  3. Step 3: Cross multiply
    613,063.32x = 846,144.42 × 405,966.57
  4. Step 4: Simplify right side
    613,063.32x = 343,506,347,912.04
  5. Step 5: Solve for x
    x = 343,506,347,912.04/613,063.32
  6. Step 6: Final answer
    x = 560,311.37

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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.