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Finding the Fourth Proportional to 552,808.76, 762,914.82 and 311,114.60

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Solution

The fourth proportional to 552,808.76, 762,914.82 and 311,114.60 is: 429,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,808.76 : 762,914.82 = 311,114.60 : x
  2. Step 2: Convert to fraction form
    552,808.76/762,914.82 = 311,114.60/x
  3. Step 3: Cross multiply
    552,808.76x = 762,914.82 × 311,114.60
  4. Step 4: Simplify right side
    552,808.76x = 237,353,939,058.37
  5. Step 5: Solve for x
    x = 237,353,939,058.37/552,808.76
  6. Step 6: Final answer
    x = 429,359.95

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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.