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Finding the Fourth Proportional to 409,379.58, 564,935.31 and 228,090.78

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Solution

The fourth proportional to 409,379.58, 564,935.31 and 228,090.78 is: 314,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,379.58 : 564,935.31 = 228,090.78 : x
  2. Step 2: Convert to fraction form
    409,379.58/564,935.31 = 228,090.78/x
  3. Step 3: Cross multiply
    409,379.58x = 564,935.31 × 228,090.78
  4. Step 4: Simplify right side
    409,379.58x = 128,856,535,507.44
  5. Step 5: Solve for x
    x = 128,856,535,507.44/409,379.58
  6. Step 6: Final answer
    x = 314,760.53

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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.