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Finding the Fourth Proportional to 418,445.80, 577,448.40 and 227,464

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Solution

The fourth proportional to 418,445.80, 577,448.40 and 227,464 is: 313,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,445.80 : 577,448.40 = 227,464 : x
  2. Step 2: Convert to fraction form
    418,445.80/577,448.40 = 227,464/x
  3. Step 3: Cross multiply
    418,445.80x = 577,448.40 × 227,464
  4. Step 4: Simplify right side
    418,445.80x = 131,348,722,857.60
  5. Step 5: Solve for x
    x = 131,348,722,857.60/418,445.80
  6. Step 6: Final answer
    x = 313,896.62

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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.