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Finding the Fourth Proportional to 401,230.20, 602,078.60 and 164,742.60

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Solution

The fourth proportional to 401,230.20, 602,078.60 and 164,742.60 is: 247,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,230.20 : 602,078.60 = 164,742.60 : x
  2. Step 2: Convert to fraction form
    401,230.20/602,078.60 = 164,742.60/x
  3. Step 3: Cross multiply
    401,230.20x = 602,078.60 × 164,742.60
  4. Step 4: Simplify right side
    401,230.20x = 99,187,993,968.36
  5. Step 5: Solve for x
    x = 99,187,993,968.36/401,230.20
  6. Step 6: Final answer
    x = 247,209.69

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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.