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Finding the Fourth Proportional to 305,411.20, 458,212.80 and 147,644.80

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Solution

The fourth proportional to 305,411.20, 458,212.80 and 147,644.80 is: 221,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,411.20 : 458,212.80 = 147,644.80 : x
  2. Step 2: Convert to fraction form
    305,411.20/458,212.80 = 147,644.80/x
  3. Step 3: Cross multiply
    305,411.20x = 458,212.80 × 147,644.80
  4. Step 4: Simplify right side
    305,411.20x = 67,652,737,213.44
  5. Step 5: Solve for x
    x = 67,652,737,213.44/305,411.20
  6. Step 6: Final answer
    x = 221,513.61

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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.