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Finding the Fourth Proportional to 272,298.46, 408,467.22 and 72,617.80

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Solution

The fourth proportional to 272,298.46, 408,467.22 and 72,617.80 is: 108,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,298.46 : 408,467.22 = 72,617.80 : x
  2. Step 2: Convert to fraction form
    272,298.46/408,467.22 = 72,617.80/x
  3. Step 3: Cross multiply
    272,298.46x = 408,467.22 × 72,617.80
  4. Step 4: Simplify right side
    272,298.46x = 29,661,990,888.52
  5. Step 5: Solve for x
    x = 29,661,990,888.52/272,298.46
  6. Step 6: Final answer
    x = 108,931.91

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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.