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Finding the Fourth Proportional to 321,878.74, 482,818.09 and 171,663.94

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Solution

The fourth proportional to 321,878.74, 482,818.09 and 171,663.94 is: 257,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,878.74 : 482,818.09 = 171,663.94 : x
  2. Step 2: Convert to fraction form
    321,878.74/482,818.09 = 171,663.94/x
  3. Step 3: Cross multiply
    321,878.74x = 482,818.09 × 171,663.94
  4. Step 4: Simplify right side
    321,878.74x = 82,882,455,632.67
  5. Step 5: Solve for x
    x = 82,882,455,632.67/321,878.74
  6. Step 6: Final answer
    x = 257,495.90

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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.