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Finding the Fourth Proportional to 313,043.50, 469,472.90 and 133,128.59

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Solution

The fourth proportional to 313,043.50, 469,472.90 and 133,128.59 is: 199,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,043.50 : 469,472.90 = 133,128.59 : x
  2. Step 2: Convert to fraction form
    313,043.50/469,472.90 = 133,128.59/x
  3. Step 3: Cross multiply
    313,043.50x = 469,472.90 × 133,128.59
  4. Step 4: Simplify right side
    313,043.50x = 62,500,263,205.67
  5. Step 5: Solve for x
    x = 62,500,263,205.67/313,043.50
  6. Step 6: Final answer
    x = 199,653.61

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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.