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Finding the Fourth Proportional to 418,380.90, 577,365.72 and 227,394.30

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Solution

The fourth proportional to 418,380.90, 577,365.72 and 227,394.30 is: 313,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,380.90 : 577,365.72 = 227,394.30 : x
  2. Step 2: Convert to fraction form
    418,380.90/577,365.72 = 227,394.30/x
  3. Step 3: Cross multiply
    418,380.90x = 577,365.72 × 227,394.30
  4. Step 4: Simplify right side
    418,380.90x = 131,289,673,743.40
  5. Step 5: Solve for x
    x = 131,289,673,743.40/418,380.90
  6. Step 6: Final answer
    x = 313,804.18

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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.