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Finding the Fourth Proportional to 323,715.40, 447,009.33 and 203,064.08

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Solution

The fourth proportional to 323,715.40, 447,009.33 and 203,064.08 is: 280,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,715.40 : 447,009.33 = 203,064.08 : x
  2. Step 2: Convert to fraction form
    323,715.40/447,009.33 = 203,064.08/x
  3. Step 3: Cross multiply
    323,715.40x = 447,009.33 × 203,064.08
  4. Step 4: Simplify right side
    323,715.40x = 90,771,535,097.50
  5. Step 5: Solve for x
    x = 90,771,535,097.50/323,715.40
  6. Step 6: Final answer
    x = 280,405.37

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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.