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Finding the Fourth Proportional to 289,507.52, 434,261.46 and 79,147.28

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Solution

The fourth proportional to 289,507.52, 434,261.46 and 79,147.28 is: 118,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,507.52 : 434,261.46 = 79,147.28 : x
  2. Step 2: Convert to fraction form
    289,507.52/434,261.46 = 79,147.28/x
  3. Step 3: Cross multiply
    289,507.52x = 434,261.46 × 79,147.28
  4. Step 4: Simplify right side
    289,507.52x = 34,370,613,367.83
  5. Step 5: Solve for x
    x = 34,370,613,367.83/289,507.52
  6. Step 6: Final answer
    x = 118,720.97

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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.