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Finding the Fourth Proportional to 447,188.72, 617,064.32 and 302,309.64

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Solution

The fourth proportional to 447,188.72, 617,064.32 and 302,309.64 is: 417,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,188.72 : 617,064.32 = 302,309.64 : x
  2. Step 2: Convert to fraction form
    447,188.72/617,064.32 = 302,309.64/x
  3. Step 3: Cross multiply
    447,188.72x = 617,064.32 × 302,309.64
  4. Step 4: Simplify right side
    447,188.72x = 186,544,492,436.05
  5. Step 5: Solve for x
    x = 186,544,492,436.05/447,188.72
  6. Step 6: Final answer
    x = 417,149.37

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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.