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Finding the Fourth Proportional to 427,763.70, 641,385.72 and 214,283.34

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Solution

The fourth proportional to 427,763.70, 641,385.72 and 214,283.34 is: 321,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,763.70 : 641,385.72 = 214,283.34 : x
  2. Step 2: Convert to fraction form
    427,763.70/641,385.72 = 214,283.34/x
  3. Step 3: Cross multiply
    427,763.70x = 641,385.72 × 214,283.34
  4. Step 4: Simplify right side
    427,763.70x = 137,438,274,309.91
  5. Step 5: Solve for x
    x = 137,438,274,309.91/427,763.70
  6. Step 6: Final answer
    x = 321,294.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.