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Finding the Fourth Proportional to 447,185.67, 617,060.18 and 302,306.64

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Solution

The fourth proportional to 447,185.67, 617,060.18 and 302,306.64 is: 417,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,185.67 : 617,060.18 = 302,306.64 : x
  2. Step 2: Convert to fraction form
    447,185.67/617,060.18 = 302,306.64/x
  3. Step 3: Cross multiply
    447,185.67x = 617,060.18 × 302,306.64
  4. Step 4: Simplify right side
    447,185.67x = 186,541,388,182.06
  5. Step 5: Solve for x
    x = 186,541,388,182.06/447,185.67
  6. Step 6: Final answer
    x = 417,145.27

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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.