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Finding the Fourth Proportional to 313,874.49, 433,141.70 and 170,638.11

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Solution

The fourth proportional to 313,874.49, 433,141.70 and 170,638.11 is: 235,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874.49 : 433,141.70 = 170,638.11 : x
  2. Step 2: Convert to fraction form
    313,874.49/433,141.70 = 170,638.11/x
  3. Step 3: Cross multiply
    313,874.49x = 433,141.70 × 170,638.11
  4. Step 4: Simplify right side
    313,874.49x = 73,910,480,197.00
  5. Step 5: Solve for x
    x = 73,910,480,197.00/313,874.49
  6. Step 6: Final answer
    x = 235,477.82

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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.