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Finding the Fourth Proportional to 289,266.60, 433,899.90 and 205,285.80

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Solution

The fourth proportional to 289,266.60, 433,899.90 and 205,285.80 is: 307,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,266.60 : 433,899.90 = 205,285.80 : x
  2. Step 2: Convert to fraction form
    289,266.60/433,899.90 = 205,285.80/x
  3. Step 3: Cross multiply
    289,266.60x = 433,899.90 × 205,285.80
  4. Step 4: Simplify right side
    289,266.60x = 89,073,488,091.42
  5. Step 5: Solve for x
    x = 89,073,488,091.42/289,266.60
  6. Step 6: Final answer
    x = 307,928.70

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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.