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Finding the Fourth Proportional to 400,785.40, 601,178.10 and 394,564.60

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Solution

The fourth proportional to 400,785.40, 601,178.10 and 394,564.60 is: 591,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,785.40 : 601,178.10 = 394,564.60 : x
  2. Step 2: Convert to fraction form
    400,785.40/601,178.10 = 394,564.60/x
  3. Step 3: Cross multiply
    400,785.40x = 601,178.10 × 394,564.60
  4. Step 4: Simplify right side
    400,785.40x = 237,203,596,555.26
  5. Step 5: Solve for x
    x = 237,203,596,555.26/400,785.40
  6. Step 6: Final answer
    x = 591,846.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.