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Finding the Fourth Proportional to 418,404.30, 577,394.46 and 227,417.10

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Solution

The fourth proportional to 418,404.30, 577,394.46 and 227,417.10 is: 313,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,404.30 : 577,394.46 = 227,417.10 : x
  2. Step 2: Convert to fraction form
    418,404.30/577,394.46 = 227,417.10/x
  3. Step 3: Cross multiply
    418,404.30x = 577,394.46 × 227,417.10
  4. Step 4: Simplify right side
    418,404.30x = 131,309,373,649.27
  5. Step 5: Solve for x
    x = 131,309,373,649.27/418,404.30
  6. Step 6: Final answer
    x = 313,833.71

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1.5x scale

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.