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Finding the Fourth Proportional to 614,401, 847,873.38 and 331,777

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Solution

The fourth proportional to 614,401, 847,873.38 and 331,777 is: 457,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,401 : 847,873.38 = 331,777 : x
  2. Step 2: Convert to fraction form
    614,401/847,873.38 = 331,777/x
  3. Step 3: Cross multiply
    614,401x = 847,873.38 × 331,777
  4. Step 4: Simplify right side
    614,401x = 281,304,886,396.26
  5. Step 5: Solve for x
    x = 281,304,886,396.26/614,401
  6. Step 6: Final answer
    x = 457,852.26

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1.5x scale

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.