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Finding the Fourth Proportional to 320,722.91, 442,591.28 and 177,482.91

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Solution

The fourth proportional to 320,722.91, 442,591.28 and 177,482.91 is: 244,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,722.91 : 442,591.28 = 177,482.91 : x
  2. Step 2: Convert to fraction form
    320,722.91/442,591.28 = 177,482.91/x
  3. Step 3: Cross multiply
    320,722.91x = 442,591.28 × 177,482.91
  4. Step 4: Simplify right side
    320,722.91x = 78,552,388,315.02
  5. Step 5: Solve for x
    x = 78,552,388,315.02/320,722.91
  6. Step 6: Final answer
    x = 244,922.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.