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Finding the Fourth Proportional to 323,897.32, 485,917.06 and 99,274.65

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Solution

The fourth proportional to 323,897.32, 485,917.06 and 99,274.65 is: 148,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,897.32 : 485,917.06 = 99,274.65 : x
  2. Step 2: Convert to fraction form
    323,897.32/485,917.06 = 99,274.65/x
  3. Step 3: Cross multiply
    323,897.32x = 485,917.06 × 99,274.65
  4. Step 4: Simplify right side
    323,897.32x = 48,239,246,060.53
  5. Step 5: Solve for x
    x = 48,239,246,060.53/323,897.32
  6. Step 6: Final answer
    x = 148,933.76

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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.