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Finding the Fourth Proportional to 289,719.20, 433,995.60 and 201,072.80

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Solution

The fourth proportional to 289,719.20, 433,995.60 and 201,072.80 is: 301,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,719.20 : 433,995.60 = 201,072.80 : x
  2. Step 2: Convert to fraction form
    289,719.20/433,995.60 = 201,072.80/x
  3. Step 3: Cross multiply
    289,719.20x = 433,995.60 × 201,072.80
  4. Step 4: Simplify right side
    289,719.20x = 87,264,710,479.68
  5. Step 5: Solve for x
    x = 87,264,710,479.68/289,719.20
  6. Step 6: Final answer
    x = 301,204.44

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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.