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Finding the Fourth Proportional to 552,709.23, 762,753.62 and 311,000.37

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Solution

The fourth proportional to 552,709.23, 762,753.62 and 311,000.37 is: 429,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,709.23 : 762,753.62 = 311,000.37 : x
  2. Step 2: Convert to fraction form
    552,709.23/762,753.62 = 311,000.37/x
  3. Step 3: Cross multiply
    552,709.23x = 762,753.62 × 311,000.37
  4. Step 4: Simplify right side
    552,709.23x = 237,216,658,038.84
  5. Step 5: Solve for x
    x = 237,216,658,038.84/552,709.23
  6. Step 6: Final answer
    x = 429,188.88

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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.