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Finding the Fourth Proportional to 313,970.16, 470,976.84 and 103,755.72

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Solution

The fourth proportional to 313,970.16, 470,976.84 and 103,755.72 is: 155,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,970.16 : 470,976.84 = 103,755.72 : x
  2. Step 2: Convert to fraction form
    313,970.16/470,976.84 = 103,755.72/x
  3. Step 3: Cross multiply
    313,970.16x = 470,976.84 × 103,755.72
  4. Step 4: Simplify right side
    313,970.16x = 48,866,541,137.52
  5. Step 5: Solve for x
    x = 48,866,541,137.52/313,970.16
  6. Step 6: Final answer
    x = 155,640.72

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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.