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Finding the Fourth Proportional to 313,690.85, 470,537.86 and 77,033.62

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Solution

The fourth proportional to 313,690.85, 470,537.86 and 77,033.62 is: 115,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,690.85 : 470,537.86 = 77,033.62 : x
  2. Step 2: Convert to fraction form
    313,690.85/470,537.86 = 77,033.62/x
  3. Step 3: Cross multiply
    313,690.85x = 470,537.86 × 77,033.62
  4. Step 4: Simplify right side
    313,690.85x = 36,247,234,702.85
  5. Step 5: Solve for x
    x = 36,247,234,702.85/313,690.85
  6. Step 6: Final answer
    x = 115,550.82

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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.