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Finding the Fourth Proportional to 418,078.29, 576,399.03 and 301,694.08

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Solution

The fourth proportional to 418,078.29, 576,399.03 and 301,694.08 is: 415,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,078.29 : 576,399.03 = 301,694.08 : x
  2. Step 2: Convert to fraction form
    418,078.29/576,399.03 = 301,694.08/x
  3. Step 3: Cross multiply
    418,078.29x = 576,399.03 × 301,694.08
  4. Step 4: Simplify right side
    418,078.29x = 173,896,173,560.27
  5. Step 5: Solve for x
    x = 173,896,173,560.27/418,078.29
  6. Step 6: Final answer
    x = 415,941.65

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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.