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Finding the Fourth Proportional to 552,954.88, 762,946.51 and 311,189.32

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Solution

The fourth proportional to 552,954.88, 762,946.51 and 311,189.32 is: 429,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,954.88 : 762,946.51 = 311,189.32 : x
  2. Step 2: Convert to fraction form
    552,954.88/762,946.51 = 311,189.32/x
  3. Step 3: Cross multiply
    552,954.88x = 762,946.51 × 311,189.32
  4. Step 4: Simplify right side
    552,954.88x = 237,420,800,272.59
  5. Step 5: Solve for x
    x = 237,420,800,272.59/552,954.88
  6. Step 6: Final answer
    x = 429,367.41

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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.