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Finding the Fourth Proportional to 409,496.40, 566,994.60 and 378,003.60

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Solution

The fourth proportional to 409,496.40, 566,994.60 and 378,003.60 is: 523,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,496.40 : 566,994.60 = 378,003.60 : x
  2. Step 2: Convert to fraction form
    409,496.40/566,994.60 = 378,003.60/x
  3. Step 3: Cross multiply
    409,496.40x = 566,994.60 × 378,003.60
  4. Step 4: Simplify right side
    409,496.40x = 214,325,999,980.56
  5. Step 5: Solve for x
    x = 214,325,999,980.56/409,496.40
  6. Step 6: Final answer
    x = 523,389.22

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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.