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Finding the Fourth Proportional to 312,997.29, 469,529.76 and 99,714.90

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Solution

The fourth proportional to 312,997.29, 469,529.76 and 99,714.90 is: 149,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,997.29 : 469,529.76 = 99,714.90 : x
  2. Step 2: Convert to fraction form
    312,997.29/469,529.76 = 99,714.90/x
  3. Step 3: Cross multiply
    312,997.29x = 469,529.76 × 99,714.90
  4. Step 4: Simplify right side
    312,997.29x = 46,819,112,558.99
  5. Step 5: Solve for x
    x = 46,819,112,558.99/312,997.29
  6. Step 6: Final answer
    x = 149,583.12

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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.