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Finding the Fourth Proportional to 384,915.28, 531,172.09 and 212,830.28

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Solution

The fourth proportional to 384,915.28, 531,172.09 and 212,830.28 is: 293,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,915.28 : 531,172.09 = 212,830.28 : x
  2. Step 2: Convert to fraction form
    384,915.28/531,172.09 = 212,830.28/x
  3. Step 3: Cross multiply
    384,915.28x = 531,172.09 × 212,830.28
  4. Step 4: Simplify right side
    384,915.28x = 113,049,504,642.89
  5. Step 5: Solve for x
    x = 113,049,504,642.89/384,915.28
  6. Step 6: Final answer
    x = 293,699.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.