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Finding the Fourth Proportional to 313,546.32, 432,699.62 and 177,608.49

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Solution

The fourth proportional to 313,546.32, 432,699.62 and 177,608.49 is: 245,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,546.32 : 432,699.62 = 177,608.49 : x
  2. Step 2: Convert to fraction form
    313,546.32/432,699.62 = 177,608.49/x
  3. Step 3: Cross multiply
    313,546.32x = 432,699.62 × 177,608.49
  4. Step 4: Simplify right side
    313,546.32x = 76,851,125,243.73
  5. Step 5: Solve for x
    x = 76,851,125,243.73/313,546.32
  6. Step 6: Final answer
    x = 245,102.94

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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.