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Finding the Fourth Proportional to 313,709.22, 432,921.11 and 170,470.04

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Solution

The fourth proportional to 313,709.22, 432,921.11 and 170,470.04 is: 235,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,709.22 : 432,921.11 = 170,470.04 : x
  2. Step 2: Convert to fraction form
    313,709.22/432,921.11 = 170,470.04/x
  3. Step 3: Cross multiply
    313,709.22x = 432,921.11 × 170,470.04
  4. Step 4: Simplify right side
    313,709.22x = 73,800,075,921.59
  5. Step 5: Solve for x
    x = 73,800,075,921.59/313,709.22
  6. Step 6: Final answer
    x = 235,249.94

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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.