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Finding the Fourth Proportional to 289,956.64, 434,975.52 and 90,291.52

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Solution

The fourth proportional to 289,956.64, 434,975.52 and 90,291.52 is: 135,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,956.64 : 434,975.52 = 90,291.52 : x
  2. Step 2: Convert to fraction form
    289,956.64/434,975.52 = 90,291.52/x
  3. Step 3: Cross multiply
    289,956.64x = 434,975.52 × 90,291.52
  4. Step 4: Simplify right side
    289,956.64x = 39,274,600,863.59
  5. Step 5: Solve for x
    x = 39,274,600,863.59/289,956.64
  6. Step 6: Final answer
    x = 135,449.91

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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.