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Finding the Fourth Proportional to 320,604.60, 442,354.86 and 207,291

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Solution

The fourth proportional to 320,604.60, 442,354.86 and 207,291 is: 286,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,604.60 : 442,354.86 = 207,291 : x
  2. Step 2: Convert to fraction form
    320,604.60/442,354.86 = 207,291/x
  3. Step 3: Cross multiply
    320,604.60x = 442,354.86 × 207,291
  4. Step 4: Simplify right side
    320,604.60x = 91,696,181,284.26
  5. Step 5: Solve for x
    x = 91,696,181,284.26/320,604.60
  6. Step 6: Final answer
    x = 286,010.19

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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.