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Finding the Fourth Proportional to 320,602.60, 442,352.10 and 207,289

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Solution

The fourth proportional to 320,602.60, 442,352.10 and 207,289 is: 286,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,602.60 : 442,352.10 = 207,289 : x
  2. Step 2: Convert to fraction form
    320,602.60/442,352.10 = 207,289/x
  3. Step 3: Cross multiply
    320,602.60x = 442,352.10 × 207,289
  4. Step 4: Simplify right side
    320,602.60x = 91,694,724,456.90
  5. Step 5: Solve for x
    x = 91,694,724,456.90/320,602.60
  6. Step 6: Final answer
    x = 286,007.43

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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.