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Finding the Fourth Proportional to 401,291.54, 601,999.56 and 135,031.28

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Solution

The fourth proportional to 401,291.54, 601,999.56 and 135,031.28 is: 202,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,291.54 : 601,999.56 = 135,031.28 : x
  2. Step 2: Convert to fraction form
    401,291.54/601,999.56 = 135,031.28/x
  3. Step 3: Cross multiply
    401,291.54x = 601,999.56 × 135,031.28
  4. Step 4: Simplify right side
    401,291.54x = 81,288,771,146.24
  5. Step 5: Solve for x
    x = 81,288,771,146.24/401,291.54
  6. Step 6: Final answer
    x = 202,567.87

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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.