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Finding the Fourth Proportional to 400,585.20, 601,266.60 and 201,130.80

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Solution

The fourth proportional to 400,585.20, 601,266.60 and 201,130.80 is: 301,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,585.20 : 601,266.60 = 201,130.80 : x
  2. Step 2: Convert to fraction form
    400,585.20/601,266.60 = 201,130.80/x
  3. Step 3: Cross multiply
    400,585.20x = 601,266.60 × 201,130.80
  4. Step 4: Simplify right side
    400,585.20x = 120,933,232,271.28
  5. Step 5: Solve for x
    x = 120,933,232,271.28/400,585.20
  6. Step 6: Final answer
    x = 301,891.41

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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.