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Finding the Fourth Proportional to 403,476.30, 605,294.19 and 119,171.79

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Solution

The fourth proportional to 403,476.30, 605,294.19 and 119,171.79 is: 178,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,476.30 : 605,294.19 = 119,171.79 : x
  2. Step 2: Convert to fraction form
    403,476.30/605,294.19 = 119,171.79/x
  3. Step 3: Cross multiply
    403,476.30x = 605,294.19 × 119,171.79
  4. Step 4: Simplify right side
    403,476.30x = 72,133,992,098.90
  5. Step 5: Solve for x
    x = 72,133,992,098.90/403,476.30
  6. Step 6: Final answer
    x = 178,781.24

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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.