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Finding the Fourth Proportional to 289,958.64, 434,978.52 and 90,293.52

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Solution

The fourth proportional to 289,958.64, 434,978.52 and 90,293.52 is: 135,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958.64 : 434,978.52 = 90,293.52 : x
  2. Step 2: Convert to fraction form
    289,958.64/434,978.52 = 90,293.52/x
  3. Step 3: Cross multiply
    289,958.64x = 434,978.52 × 90,293.52
  4. Step 4: Simplify right side
    289,958.64x = 39,275,741,695.19
  5. Step 5: Solve for x
    x = 39,275,741,695.19/289,958.64
  6. Step 6: Final answer
    x = 135,452.91

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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.