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Finding the Fourth Proportional to 403,453.36, 605,004.90 and 137,142.28

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Solution

The fourth proportional to 403,453.36, 605,004.90 and 137,142.28 is: 205,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,453.36 : 605,004.90 = 137,142.28 : x
  2. Step 2: Convert to fraction form
    403,453.36/605,004.90 = 137,142.28/x
  3. Step 3: Cross multiply
    403,453.36x = 605,004.90 × 137,142.28
  4. Step 4: Simplify right side
    403,453.36x = 82,971,751,397.17
  5. Step 5: Solve for x
    x = 82,971,751,397.17/403,453.36
  6. Step 6: Final answer
    x = 205,653.89

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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.