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Finding the Fourth Proportional to 313,759.86, 470,639.79 and 126,902.58

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Solution

The fourth proportional to 313,759.86, 470,639.79 and 126,902.58 is: 190,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,759.86 : 470,639.79 = 126,902.58 : x
  2. Step 2: Convert to fraction form
    313,759.86/470,639.79 = 126,902.58/x
  3. Step 3: Cross multiply
    313,759.86x = 470,639.79 × 126,902.58
  4. Step 4: Simplify right side
    313,759.86x = 59,725,403,601.66
  5. Step 5: Solve for x
    x = 59,725,403,601.66/313,759.86
  6. Step 6: Final answer
    x = 190,353.87

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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.