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Finding the Fourth Proportional to 323,715.90, 447,010.02 and 203,064.58

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Solution

The fourth proportional to 323,715.90, 447,010.02 and 203,064.58 is: 280,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,715.90 : 447,010.02 = 203,064.58 : x
  2. Step 2: Convert to fraction form
    323,715.90/447,010.02 = 203,064.58/x
  3. Step 3: Cross multiply
    323,715.90x = 447,010.02 × 203,064.58
  4. Step 4: Simplify right side
    323,715.90x = 90,771,901,967.09
  5. Step 5: Solve for x
    x = 90,771,901,967.09/323,715.90
  6. Step 6: Final answer
    x = 280,406.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.