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Finding the Fourth Proportional to 552,803.76, 762,907.92 and 311,109.60

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Solution

The fourth proportional to 552,803.76, 762,907.92 and 311,109.60 is: 429,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,803.76 : 762,907.92 = 311,109.60 : x
  2. Step 2: Convert to fraction form
    552,803.76/762,907.92 = 311,109.60/x
  3. Step 3: Cross multiply
    552,803.76x = 762,907.92 × 311,109.60
  4. Step 4: Simplify right side
    552,803.76x = 237,347,977,828.03
  5. Step 5: Solve for x
    x = 237,347,977,828.03/552,803.76
  6. Step 6: Final answer
    x = 429,353.05

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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.