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Finding the Fourth Proportional to 320,779.52, 442,689.69 and 177,539.52

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Solution

The fourth proportional to 320,779.52, 442,689.69 and 177,539.52 is: 245,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,779.52 : 442,689.69 = 177,539.52 : x
  2. Step 2: Convert to fraction form
    320,779.52/442,689.69 = 177,539.52/x
  3. Step 3: Cross multiply
    320,779.52x = 442,689.69 × 177,539.52
  4. Step 4: Simplify right side
    320,779.52x = 78,594,915,902.68
  5. Step 5: Solve for x
    x = 78,594,915,902.68/320,779.52
  6. Step 6: Final answer
    x = 245,012.27

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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.