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Finding the Fourth Proportional to 456,082.42, 684,235.11 and 321,409.21

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Solution

The fourth proportional to 456,082.42, 684,235.11 and 321,409.21 is: 482,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,082.42 : 684,235.11 = 321,409.21 : x
  2. Step 2: Convert to fraction form
    456,082.42/684,235.11 = 321,409.21/x
  3. Step 3: Cross multiply
    456,082.42x = 684,235.11 × 321,409.21
  4. Step 4: Simplify right side
    456,082.42x = 219,919,466,159.36
  5. Step 5: Solve for x
    x = 219,919,466,159.36/456,082.42
  6. Step 6: Final answer
    x = 482,192.38

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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.