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Finding the Fourth Proportional to 320,328.80, 442,053.60 and 193,029.02

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Solution

The fourth proportional to 320,328.80, 442,053.60 and 193,029.02 is: 266,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,328.80 : 442,053.60 = 193,029.02 : x
  2. Step 2: Convert to fraction form
    320,328.80/442,053.60 = 193,029.02/x
  3. Step 3: Cross multiply
    320,328.80x = 442,053.60 × 193,029.02
  4. Step 4: Simplify right side
    320,328.80x = 85,329,173,195.47
  5. Step 5: Solve for x
    x = 85,329,173,195.47/320,328.80
  6. Step 6: Final answer
    x = 266,379.96

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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.