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Finding the Fourth Proportional to 289,015.20, 433,522.80 and 200,368.80

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Solution

The fourth proportional to 289,015.20, 433,522.80 and 200,368.80 is: 300,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,015.20 : 433,522.80 = 200,368.80 : x
  2. Step 2: Convert to fraction form
    289,015.20/433,522.80 = 200,368.80/x
  3. Step 3: Cross multiply
    289,015.20x = 433,522.80 × 200,368.80
  4. Step 4: Simplify right side
    289,015.20x = 86,864,443,208.64
  5. Step 5: Solve for x
    x = 86,864,443,208.64/289,015.20
  6. Step 6: Final answer
    x = 300,553.20

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1.5x scale

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.