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Finding the Fourth Proportional to 313,670.78, 432,866.73 and 177,729.90

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Solution

The fourth proportional to 313,670.78, 432,866.73 and 177,729.90 is: 245,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670.78 : 432,866.73 = 177,729.90 : x
  2. Step 2: Convert to fraction form
    313,670.78/432,866.73 = 177,729.90/x
  3. Step 3: Cross multiply
    313,670.78x = 432,866.73 × 177,729.90
  4. Step 4: Simplify right side
    313,670.78x = 76,933,359,679.46
  5. Step 5: Solve for x
    x = 76,933,359,679.46/313,670.78
  6. Step 6: Final answer
    x = 245,267.86

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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.