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Finding the Fourth Proportional to 289,548.88, 434,317.14 and 79,186.82

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Solution

The fourth proportional to 289,548.88, 434,317.14 and 79,186.82 is: 118,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,548.88 : 434,317.14 = 79,186.82 : x
  2. Step 2: Convert to fraction form
    289,548.88/434,317.14 = 79,186.82/x
  3. Step 3: Cross multiply
    289,548.88x = 434,317.14 × 79,186.82
  4. Step 4: Simplify right side
    289,548.88x = 34,392,191,016.51
  5. Step 5: Solve for x
    x = 34,392,191,016.51/289,548.88
  6. Step 6: Final answer
    x = 118,778.53

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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.