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Finding the Fourth Proportional to 313,735.81, 432,958.19 and 170,495.86

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Solution

The fourth proportional to 313,735.81, 432,958.19 and 170,495.86 is: 235,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,735.81 : 432,958.19 = 170,495.86 : x
  2. Step 2: Convert to fraction form
    313,735.81/432,958.19 = 170,495.86/x
  3. Step 3: Cross multiply
    313,735.81x = 432,958.19 × 170,495.86
  4. Step 4: Simplify right side
    313,735.81x = 73,817,578,948.09
  5. Step 5: Solve for x
    x = 73,817,578,948.09/313,735.81
  6. Step 6: Final answer
    x = 235,285.79

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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.