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Finding the Fourth Proportional to 524,394.24, 723,756.96 and 309,520.32

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Solution

The fourth proportional to 524,394.24, 723,756.96 and 309,520.32 is: 427,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,394.24 : 723,756.96 = 309,520.32 : x
  2. Step 2: Convert to fraction form
    524,394.24/723,756.96 = 309,520.32/x
  3. Step 3: Cross multiply
    524,394.24x = 723,756.96 × 309,520.32
  4. Step 4: Simplify right side
    524,394.24x = 224,017,485,861.43
  5. Step 5: Solve for x
    x = 224,017,485,861.43/524,394.24
  6. Step 6: Final answer
    x = 427,192.88

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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.