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Finding the Fourth Proportional to 313,360.56, 469,941.12 and 102,949.92

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Solution

The fourth proportional to 313,360.56, 469,941.12 and 102,949.92 is: 154,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,360.56 : 469,941.12 = 102,949.92 : x
  2. Step 2: Convert to fraction form
    313,360.56/469,941.12 = 102,949.92/x
  3. Step 3: Cross multiply
    313,360.56x = 469,941.12 × 102,949.92
  4. Step 4: Simplify right side
    313,360.56x = 48,380,400,708.71
  5. Step 5: Solve for x
    x = 48,380,400,708.71/313,360.56
  6. Step 6: Final answer
    x = 154,392.12

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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.