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Finding the Fourth Proportional to 289,988.56, 435,093.70 and 163,771.32

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Solution

The fourth proportional to 289,988.56, 435,093.70 and 163,771.32 is: 245,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,988.56 : 435,093.70 = 163,771.32 : x
  2. Step 2: Convert to fraction form
    289,988.56/435,093.70 = 163,771.32/x
  3. Step 3: Cross multiply
    289,988.56x = 435,093.70 × 163,771.32
  4. Step 4: Simplify right side
    289,988.56x = 71,255,869,572.68
  5. Step 5: Solve for x
    x = 71,255,869,572.68/289,988.56
  6. Step 6: Final answer
    x = 245,719.59

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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.