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Finding the Fourth Proportional to 409,321.71, 564,864.31 and 228,034.09

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Solution

The fourth proportional to 409,321.71, 564,864.31 and 228,034.09 is: 314,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,321.71 : 564,864.31 = 228,034.09 : x
  2. Step 2: Convert to fraction form
    409,321.71/564,864.31 = 228,034.09/x
  3. Step 3: Cross multiply
    409,321.71x = 564,864.31 × 228,034.09
  4. Step 4: Simplify right side
    409,321.71x = 128,808,318,904.33
  5. Step 5: Solve for x
    x = 128,808,318,904.33/409,321.71
  6. Step 6: Final answer
    x = 314,687.24

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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.