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Finding the Fourth Proportional to 447,719.97, 617,839.32 and 266,390.40

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Solution

The fourth proportional to 447,719.97, 617,839.32 and 266,390.40 is: 367,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,719.97 : 617,839.32 = 266,390.40 : x
  2. Step 2: Convert to fraction form
    447,719.97/617,839.32 = 266,390.40/x
  3. Step 3: Cross multiply
    447,719.97x = 617,839.32 × 266,390.40
  4. Step 4: Simplify right side
    447,719.97x = 164,586,463,590.53
  5. Step 5: Solve for x
    x = 164,586,463,590.53/447,719.97
  6. Step 6: Final answer
    x = 367,610.28

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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.