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Finding the Fourth Proportional to 320,577.75, 442,359.02 and 177,318.32

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Solution

The fourth proportional to 320,577.75, 442,359.02 and 177,318.32 is: 244,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577.75 : 442,359.02 = 177,318.32 : x
  2. Step 2: Convert to fraction form
    320,577.75/442,359.02 = 177,318.32/x
  3. Step 3: Cross multiply
    320,577.75x = 442,359.02 × 177,318.32
  4. Step 4: Simplify right side
    320,577.75x = 78,438,356,494.75
  5. Step 5: Solve for x
    x = 78,438,356,494.75/320,577.75
  6. Step 6: Final answer
    x = 244,678.11

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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.