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Finding the Fourth Proportional to 313,759.86, 470,635.65 and 77,104.62

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Solution

The fourth proportional to 313,759.86, 470,635.65 and 77,104.62 is: 115,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,759.86 : 470,635.65 = 77,104.62 : x
  2. Step 2: Convert to fraction form
    313,759.86/470,635.65 = 77,104.62/x
  3. Step 3: Cross multiply
    313,759.86x = 470,635.65 × 77,104.62
  4. Step 4: Simplify right side
    313,759.86x = 36,288,182,951.70
  5. Step 5: Solve for x
    x = 36,288,182,951.70/313,759.86
  6. Step 6: Final answer
    x = 115,655.91

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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.