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Finding the Fourth Proportional to 418,082.09, 576,404.28 and 301,697.88

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Solution

The fourth proportional to 418,082.09, 576,404.28 and 301,697.88 is: 415,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,082.09 : 576,404.28 = 301,697.88 : x
  2. Step 2: Convert to fraction form
    418,082.09/576,404.28 = 301,697.88/x
  3. Step 3: Cross multiply
    418,082.09x = 576,404.28 × 301,697.88
  4. Step 4: Simplify right side
    418,082.09x = 173,899,949,298.93
  5. Step 5: Solve for x
    x = 173,899,949,298.93/418,082.09
  6. Step 6: Final answer
    x = 415,946.91

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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.