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Finding the Fourth Proportional to 289,743.56, 434,740.20 and 156,717.48

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Solution

The fourth proportional to 289,743.56, 434,740.20 and 156,717.48 is: 235,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,743.56 : 434,740.20 = 156,717.48 : x
  2. Step 2: Convert to fraction form
    289,743.56/434,740.20 = 156,717.48/x
  3. Step 3: Cross multiply
    289,743.56x = 434,740.20 × 156,717.48
  4. Step 4: Simplify right side
    289,743.56x = 68,131,388,598.70
  5. Step 5: Solve for x
    x = 68,131,388,598.70/289,743.56
  6. Step 6: Final answer
    x = 235,143.75

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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.