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Finding the Fourth Proportional to 289,399.63, 434,115.84 and 89,748.40

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Solution

The fourth proportional to 289,399.63, 434,115.84 and 89,748.40 is: 134,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399.63 : 434,115.84 = 89,748.40 : x
  2. Step 2: Convert to fraction form
    289,399.63/434,115.84 = 89,748.40/x
  3. Step 3: Cross multiply
    289,399.63x = 434,115.84 × 89,748.40
  4. Step 4: Simplify right side
    289,399.63x = 38,961,202,054.66
  5. Step 5: Solve for x
    x = 38,961,202,054.66/289,399.63
  6. Step 6: Final answer
    x = 134,627.68

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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.