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Finding the Fourth Proportional to 447,135, 617,047.92 and 243,185.91

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Solution

The fourth proportional to 447,135, 617,047.92 and 243,185.91 is: 335,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,135 : 617,047.92 = 243,185.91 : x
  2. Step 2: Convert to fraction form
    447,135/617,047.92 = 243,185.91/x
  3. Step 3: Cross multiply
    447,135x = 617,047.92 × 243,185.91
  4. Step 4: Simplify right side
    447,135x = 150,057,359,938.81
  5. Step 5: Solve for x
    x = 150,057,359,938.81/447,135
  6. Step 6: Final answer
    x = 335,597.44

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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.