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Finding the Fourth Proportional to 409,399.29, 564,963.48 and 228,107.31

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Solution

The fourth proportional to 409,399.29, 564,963.48 and 228,107.31 is: 314,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,399.29 : 564,963.48 = 228,107.31 : x
  2. Step 2: Convert to fraction form
    409,399.29/564,963.48 = 228,107.31/x
  3. Step 3: Cross multiply
    409,399.29x = 564,963.48 × 228,107.31
  4. Step 4: Simplify right side
    409,399.29x = 128,872,302,960.86
  5. Step 5: Solve for x
    x = 128,872,302,960.86/409,399.29
  6. Step 6: Final answer
    x = 314,783.90

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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.