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Finding the Fourth Proportional to 456,193.72, 684,401.82 and 321,520.24

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Solution

The fourth proportional to 456,193.72, 684,401.82 and 321,520.24 is: 482,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,193.72 : 684,401.82 = 321,520.24 : x
  2. Step 2: Convert to fraction form
    456,193.72/684,401.82 = 321,520.24/x
  3. Step 3: Cross multiply
    456,193.72x = 684,401.82 × 321,520.24
  4. Step 4: Simplify right side
    456,193.72x = 220,049,037,422.84
  5. Step 5: Solve for x
    x = 220,049,037,422.84/456,193.72
  6. Step 6: Final answer
    x = 482,358.76

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1.5x scale

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.