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Finding the Fourth Proportional to 407,978.12, 611,948.49 and 141,759.47

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Solution

The fourth proportional to 407,978.12, 611,948.49 and 141,759.47 is: 212,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,978.12 : 611,948.49 = 141,759.47 : x
  2. Step 2: Convert to fraction form
    407,978.12/611,948.49 = 141,759.47/x
  3. Step 3: Cross multiply
    407,978.12x = 611,948.49 × 141,759.47
  4. Step 4: Simplify right side
    407,978.12x = 86,749,493,609.70
  5. Step 5: Solve for x
    x = 86,749,493,609.70/407,978.12
  6. Step 6: Final answer
    x = 212,632.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.