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Finding the Fourth Proportional to 378,495.28, 567,275.43 and 324,809.90

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Solution

The fourth proportional to 378,495.28, 567,275.43 and 324,809.90 is: 486,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,495.28 : 567,275.43 = 324,809.90 : x
  2. Step 2: Convert to fraction form
    378,495.28/567,275.43 = 324,809.90/x
  3. Step 3: Cross multiply
    378,495.28x = 567,275.43 × 324,809.90
  4. Step 4: Simplify right side
    378,495.28x = 184,256,676,199.70
  5. Step 5: Solve for x
    x = 184,256,676,199.70/378,495.28
  6. Step 6: Final answer
    x = 486,813.67

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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.