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Finding the Fourth Proportional to 321,898.02, 482,737.68 and 111,486.78

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Solution

The fourth proportional to 321,898.02, 482,737.68 and 111,486.78 is: 167,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,898.02 : 482,737.68 = 111,486.78 : x
  2. Step 2: Convert to fraction form
    321,898.02/482,737.68 = 111,486.78/x
  3. Step 3: Cross multiply
    321,898.02x = 482,737.68 × 111,486.78
  4. Step 4: Simplify right side
    321,898.02x = 53,818,869,527.87
  5. Step 5: Solve for x
    x = 53,818,869,527.87/321,898.02
  6. Step 6: Final answer
    x = 167,192.30

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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.