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Finding the Fourth Proportional to 320,364, 442,095 and 177,125.22

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Solution

The fourth proportional to 320,364, 442,095 and 177,125.22 is: 244,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,364 : 442,095 = 177,125.22 : x
  2. Step 2: Convert to fraction form
    320,364/442,095 = 177,125.22/x
  3. Step 3: Cross multiply
    320,364x = 442,095 × 177,125.22
  4. Step 4: Simplify right side
    320,364x = 78,306,174,135.90
  5. Step 5: Solve for x
    x = 78,306,174,135.90/320,364
  6. Step 6: Final answer
    x = 244,428.76

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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.