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Finding the Fourth Proportional to 289,285.40, 433,956.62 and 99,720.80

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Solution

The fourth proportional to 289,285.40, 433,956.62 and 99,720.80 is: 149,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,285.40 : 433,956.62 = 99,720.80 : x
  2. Step 2: Convert to fraction form
    289,285.40/433,956.62 = 99,720.80/x
  3. Step 3: Cross multiply
    289,285.40x = 433,956.62 × 99,720.80
  4. Step 4: Simplify right side
    289,285.40x = 43,274,501,311.70
  5. Step 5: Solve for x
    x = 43,274,501,311.70/289,285.40
  6. Step 6: Final answer
    x = 149,591.03

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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.