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Finding the Fourth Proportional to 320,628.52, 480,482.70 and 180,091.36

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Solution

The fourth proportional to 320,628.52, 480,482.70 and 180,091.36 is: 269,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,628.52 : 480,482.70 = 180,091.36 : x
  2. Step 2: Convert to fraction form
    320,628.52/480,482.70 = 180,091.36/x
  3. Step 3: Cross multiply
    320,628.52x = 480,482.70 × 180,091.36
  4. Step 4: Simplify right side
    320,628.52x = 86,530,782,899.47
  5. Step 5: Solve for x
    x = 86,530,782,899.47/320,628.52
  6. Step 6: Final answer
    x = 269,878.62

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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.