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Finding the Fourth Proportional to 320,590.67, 442,428.14 and 177,348.24

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Solution

The fourth proportional to 320,590.67, 442,428.14 and 177,348.24 is: 244,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,590.67 : 442,428.14 = 177,348.24 : x
  2. Step 2: Convert to fraction form
    320,590.67/442,428.14 = 177,348.24/x
  3. Step 3: Cross multiply
    320,590.67x = 442,428.14 × 177,348.24
  4. Step 4: Simplify right side
    320,590.67x = 78,463,852,398.84
  5. Step 5: Solve for x
    x = 78,463,852,398.84/320,590.67
  6. Step 6: Final answer
    x = 244,747.78

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