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Finding the Fourth Proportional to 312,904.86, 469,202.02 and 99,644.98

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Solution

The fourth proportional to 312,904.86, 469,202.02 and 99,644.98 is: 149,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904.86 : 469,202.02 = 99,644.98 : x
  2. Step 2: Convert to fraction form
    312,904.86/469,202.02 = 99,644.98/x
  3. Step 3: Cross multiply
    312,904.86x = 469,202.02 × 99,644.98
  4. Step 4: Simplify right side
    312,904.86x = 46,753,625,898.86
  5. Step 5: Solve for x
    x = 46,753,625,898.86/312,904.86
  6. Step 6: Final answer
    x = 149,418.02

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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.