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Finding the Fourth Proportional to 289,132.80, 433,699.20 and 102,163.20

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Solution

The fourth proportional to 289,132.80, 433,699.20 and 102,163.20 is: 153,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132.80 : 433,699.20 = 102,163.20 : x
  2. Step 2: Convert to fraction form
    289,132.80/433,699.20 = 102,163.20/x
  3. Step 3: Cross multiply
    289,132.80x = 433,699.20 × 102,163.20
  4. Step 4: Simplify right side
    289,132.80x = 44,308,098,109.44
  5. Step 5: Solve for x
    x = 44,308,098,109.44/289,132.80
  6. Step 6: Final answer
    x = 153,244.80

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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.