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Finding the Fourth Proportional to 496,687.68, 745,212.96 and 309,856.32

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Solution

The fourth proportional to 496,687.68, 745,212.96 and 309,856.32 is: 464,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,687.68 : 745,212.96 = 309,856.32 : x
  2. Step 2: Convert to fraction form
    496,687.68/745,212.96 = 309,856.32/x
  3. Step 3: Cross multiply
    496,687.68x = 745,212.96 × 309,856.32
  4. Step 4: Simplify right side
    496,687.68x = 230,908,945,401.91
  5. Step 5: Solve for x
    x = 230,908,945,401.91/496,687.68
  6. Step 6: Final answer
    x = 464,897.67

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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.