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Finding the Fourth Proportional to 289,043.90, 433,641.45 and 111,556.70

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Solution

The fourth proportional to 289,043.90, 433,641.45 and 111,556.70 is: 167,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,043.90 : 433,641.45 = 111,556.70 : x
  2. Step 2: Convert to fraction form
    289,043.90/433,641.45 = 111,556.70/x
  3. Step 3: Cross multiply
    289,043.90x = 433,641.45 × 111,556.70
  4. Step 4: Simplify right side
    289,043.90x = 48,375,609,145.22
  5. Step 5: Solve for x
    x = 48,375,609,145.22/289,043.90
  6. Step 6: Final answer
    x = 167,364.23

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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.