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Finding the Fourth Proportional to 447,744.50, 617,884.35 and 243,795.32

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Solution

The fourth proportional to 447,744.50, 617,884.35 and 243,795.32 is: 336,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,744.50 : 617,884.35 = 243,795.32 : x
  2. Step 2: Convert to fraction form
    447,744.50/617,884.35 = 243,795.32/x
  3. Step 3: Cross multiply
    447,744.50x = 617,884.35 × 243,795.32
  4. Step 4: Simplify right side
    447,744.50x = 150,637,309,741.82
  5. Step 5: Solve for x
    x = 150,637,309,741.82/447,744.50
  6. Step 6: Final answer
    x = 336,435.87

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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.