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Finding the Fourth Proportional to 500,958.20, 749,663.48 and 311,507.78

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Solution

The fourth proportional to 500,958.20, 749,663.48 and 311,507.78 is: 466,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,958.20 : 749,663.48 = 311,507.78 : x
  2. Step 2: Convert to fraction form
    500,958.20/749,663.48 = 311,507.78/x
  3. Step 3: Cross multiply
    500,958.20x = 749,663.48 × 311,507.78
  4. Step 4: Simplify right side
    500,958.20x = 233,526,006,401.87
  5. Step 5: Solve for x
    x = 233,526,006,401.87/500,958.20
  6. Step 6: Final answer
    x = 466,158.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.