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Finding the Fourth Proportional to 403,453.40, 605,005.12 and 137,142.40

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Solution

The fourth proportional to 403,453.40, 605,005.12 and 137,142.40 is: 205,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,453.40 : 605,005.12 = 137,142.40 : x
  2. Step 2: Convert to fraction form
    403,453.40/605,005.12 = 137,142.40/x
  3. Step 3: Cross multiply
    403,453.40x = 605,005.12 × 137,142.40
  4. Step 4: Simplify right side
    403,453.40x = 82,971,854,169.09
  5. Step 5: Solve for x
    x = 82,971,854,169.09/403,453.40
  6. Step 6: Final answer
    x = 205,654.12

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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.