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Finding the Fourth Proportional to 314,087.57, 470,944.09 and 213,009.90

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Solution

The fourth proportional to 314,087.57, 470,944.09 and 213,009.90 is: 319,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,087.57 : 470,944.09 = 213,009.90 : x
  2. Step 2: Convert to fraction form
    314,087.57/470,944.09 = 213,009.90/x
  3. Step 3: Cross multiply
    314,087.57x = 470,944.09 × 213,009.90
  4. Step 4: Simplify right side
    314,087.57x = 100,315,753,516.49
  5. Step 5: Solve for x
    x = 100,315,753,516.49/314,087.57
  6. Step 6: Final answer
    x = 319,387.85

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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.