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Finding the Fourth Proportional to 456,057.54, 684,233.97 and 219,369.42

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Solution

The fourth proportional to 456,057.54, 684,233.97 and 219,369.42 is: 329,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,057.54 : 684,233.97 = 219,369.42 : x
  2. Step 2: Convert to fraction form
    456,057.54/684,233.97 = 219,369.42/x
  3. Step 3: Cross multiply
    456,057.54x = 684,233.97 × 219,369.42
  4. Step 4: Simplify right side
    456,057.54x = 150,100,009,143.20
  5. Step 5: Solve for x
    x = 150,100,009,143.20/456,057.54
  6. Step 6: Final answer
    x = 329,125.16

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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.