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Finding the Fourth Proportional to 430,238.96, 645,357.74 and 204,916

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Solution

The fourth proportional to 430,238.96, 645,357.74 and 204,916 is: 307,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,238.96 : 645,357.74 = 204,916 : x
  2. Step 2: Convert to fraction form
    430,238.96/645,357.74 = 204,916/x
  3. Step 3: Cross multiply
    430,238.96x = 645,357.74 × 204,916
  4. Step 4: Simplify right side
    430,238.96x = 132,244,126,649.84
  5. Step 5: Solve for x
    x = 132,244,126,649.84/430,238.96
  6. Step 6: Final answer
    x = 307,373.67

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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.