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Finding the Fourth Proportional to 456,060.16, 684,237.78 and 219,371.92

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Solution

The fourth proportional to 456,060.16, 684,237.78 and 219,371.92 is: 329,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,060.16 : 684,237.78 = 219,371.92 : x
  2. Step 2: Convert to fraction form
    456,060.16/684,237.78 = 219,371.92/x
  3. Step 3: Cross multiply
    456,060.16x = 684,237.78 × 219,371.92
  4. Step 4: Simplify right side
    456,060.16x = 150,102,555,535.14
  5. Step 5: Solve for x
    x = 150,102,555,535.14/456,060.16
  6. Step 6: Final answer
    x = 329,128.85

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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.