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Finding the Fourth Proportional to 418,368.62, 577,345.24 and 227,383.18

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Solution

The fourth proportional to 418,368.62, 577,345.24 and 227,383.18 is: 313,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,368.62 : 577,345.24 = 227,383.18 : x
  2. Step 2: Convert to fraction form
    418,368.62/577,345.24 = 227,383.18/x
  3. Step 3: Cross multiply
    418,368.62x = 577,345.24 × 227,383.18
  4. Step 4: Simplify right side
    418,368.62x = 131,278,596,629.06
  5. Step 5: Solve for x
    x = 131,278,596,629.06/418,368.62
  6. Step 6: Final answer
    x = 313,786.91

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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.