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Finding the Fourth Proportional to 447,794.64, 617,834.16 and 311,675.76

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Solution

The fourth proportional to 447,794.64, 617,834.16 and 311,675.76 is: 430,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,794.64 : 617,834.16 = 311,675.76 : x
  2. Step 2: Convert to fraction form
    447,794.64/617,834.16 = 311,675.76/x
  3. Step 3: Cross multiply
    447,794.64x = 617,834.16 × 311,675.76
  4. Step 4: Simplify right side
    447,794.64x = 192,563,931,371.96
  5. Step 5: Solve for x
    x = 192,563,931,371.96/447,794.64
  6. Step 6: Final answer
    x = 430,027.33

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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.