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Finding the Fourth Proportional to 312,904.46, 469,201.38 and 99,644.56

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Solution

The fourth proportional to 312,904.46, 469,201.38 and 99,644.56 is: 149,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904.46 : 469,201.38 = 99,644.56 : x
  2. Step 2: Convert to fraction form
    312,904.46/469,201.38 = 99,644.56/x
  3. Step 3: Cross multiply
    312,904.46x = 469,201.38 × 99,644.56
  4. Step 4: Simplify right side
    312,904.46x = 46,753,365,647.99
  5. Step 5: Solve for x
    x = 46,753,365,647.99/312,904.46
  6. Step 6: Final answer
    x = 149,417.39

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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.