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Finding the Fourth Proportional to 447,776.40, 617,930.46 and 243,824.16

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Solution

The fourth proportional to 447,776.40, 617,930.46 and 243,824.16 is: 336,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,776.40 : 617,930.46 = 243,824.16 : x
  2. Step 2: Convert to fraction form
    447,776.40/617,930.46 = 243,824.16/x
  3. Step 3: Cross multiply
    447,776.40x = 617,930.46 × 243,824.16
  4. Step 4: Simplify right side
    447,776.40x = 150,666,375,347.91
  5. Step 5: Solve for x
    x = 150,666,375,347.91/447,776.40
  6. Step 6: Final answer
    x = 336,476.81

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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.