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Finding the Fourth Proportional to 409,218.63, 564,739.28 and 227,930.64

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Solution

The fourth proportional to 409,218.63, 564,739.28 and 227,930.64 is: 314,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218.63 : 564,739.28 = 227,930.64 : x
  2. Step 2: Convert to fraction form
    409,218.63/564,739.28 = 227,930.64/x
  3. Step 3: Cross multiply
    409,218.63x = 564,739.28 × 227,930.64
  4. Step 4: Simplify right side
    409,218.63x = 128,721,384,383.89
  5. Step 5: Solve for x
    x = 128,721,384,383.89/409,218.63
  6. Step 6: Final answer
    x = 314,554.07

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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.