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Finding the Fourth Proportional to 401,458.80, 601,662.60 and 202,004.40

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Solution

The fourth proportional to 401,458.80, 601,662.60 and 202,004.40 is: 302,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,458.80 : 601,662.60 = 202,004.40 : x
  2. Step 2: Convert to fraction form
    401,458.80/601,662.60 = 202,004.40/x
  3. Step 3: Cross multiply
    401,458.80x = 601,662.60 × 202,004.40
  4. Step 4: Simplify right side
    401,458.80x = 121,538,492,515.44
  5. Step 5: Solve for x
    x = 121,538,492,515.44/401,458.80
  6. Step 6: Final answer
    x = 302,742.13

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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.