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Finding the Fourth Proportional to 289,144.20, 433,133.10 and 164,339.40

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Solution

The fourth proportional to 289,144.20, 433,133.10 and 164,339.40 is: 246,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,144.20 : 433,133.10 = 164,339.40 : x
  2. Step 2: Convert to fraction form
    289,144.20/433,133.10 = 164,339.40/x
  3. Step 3: Cross multiply
    289,144.20x = 433,133.10 × 164,339.40
  4. Step 4: Simplify right side
    289,144.20x = 71,180,833,774.14
  5. Step 5: Solve for x
    x = 71,180,833,774.14/289,144.20
  6. Step 6: Final answer
    x = 246,177.63

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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.