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Finding the Fourth Proportional to 289,189.47, 433,771.44 and 78,827.42

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Solution

The fourth proportional to 289,189.47, 433,771.44 and 78,827.42 is: 118,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,189.47 : 433,771.44 = 78,827.42 : x
  2. Step 2: Convert to fraction form
    289,189.47/433,771.44 = 78,827.42/x
  3. Step 3: Cross multiply
    289,189.47x = 433,771.44 × 78,827.42
  4. Step 4: Simplify right side
    289,189.47x = 34,193,081,316.03
  5. Step 5: Solve for x
    x = 34,193,081,316.03/289,189.47
  6. Step 6: Final answer
    x = 118,237.64

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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.