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Finding the Fourth Proportional to 289,883.10, 434,608.65 and 149,742.30

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Solution

The fourth proportional to 289,883.10, 434,608.65 and 149,742.30 is: 224,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883.10 : 434,608.65 = 149,742.30 : x
  2. Step 2: Convert to fraction form
    289,883.10/434,608.65 = 149,742.30/x
  3. Step 3: Cross multiply
    289,883.10x = 434,608.65 × 149,742.30
  4. Step 4: Simplify right side
    289,883.10x = 65,079,298,850.90
  5. Step 5: Solve for x
    x = 65,079,298,850.90/289,883.10
  6. Step 6: Final answer
    x = 224,501.87

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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.