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Finding the Fourth Proportional to 313,282.80, 432,318.67 and 170,039.77

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Solution

The fourth proportional to 313,282.80, 432,318.67 and 170,039.77 is: 234,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,282.80 : 432,318.67 = 170,039.77 : x
  2. Step 2: Convert to fraction form
    313,282.80/432,318.67 = 170,039.77/x
  3. Step 3: Cross multiply
    313,282.80x = 432,318.67 × 170,039.77
  4. Step 4: Simplify right side
    313,282.80x = 73,511,365,707.61
  5. Step 5: Solve for x
    x = 73,511,365,707.61/313,282.80
  6. Step 6: Final answer
    x = 234,648.58

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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.