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Finding the Fourth Proportional to 313,290.24, 469,933.20 and 76,636.32

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Solution

The fourth proportional to 313,290.24, 469,933.20 and 76,636.32 is: 114,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,290.24 : 469,933.20 = 76,636.32 : x
  2. Step 2: Convert to fraction form
    313,290.24/469,933.20 = 76,636.32/x
  3. Step 3: Cross multiply
    313,290.24x = 469,933.20 × 76,636.32
  4. Step 4: Simplify right side
    313,290.24x = 36,013,951,093.82
  5. Step 5: Solve for x
    x = 36,013,951,093.82/313,290.24
  6. Step 6: Final answer
    x = 114,953.95

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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.