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Finding the Fourth Proportional to 320,394.32, 442,126.32 and 177,145.76

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Solution

The fourth proportional to 320,394.32, 442,126.32 and 177,145.76 is: 244,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,394.32 : 442,126.32 = 177,145.76 : x
  2. Step 2: Convert to fraction form
    320,394.32/442,126.32 = 177,145.76/x
  3. Step 3: Cross multiply
    320,394.32x = 442,126.32 × 177,145.76
  4. Step 4: Simplify right side
    320,394.32x = 78,320,802,972.40
  5. Step 5: Solve for x
    x = 78,320,802,972.40/320,394.32
  6. Step 6: Final answer
    x = 244,451.28

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1.5x scale

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.