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Finding the Fourth Proportional to 457,018.40, 685,667.64 and 204,511.40

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Solution

The fourth proportional to 457,018.40, 685,667.64 and 204,511.40 is: 306,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,018.40 : 685,667.64 = 204,511.40 : x
  2. Step 2: Convert to fraction form
    457,018.40/685,667.64 = 204,511.40/x
  3. Step 3: Cross multiply
    457,018.40x = 685,667.64 × 204,511.40
  4. Step 4: Simplify right side
    457,018.40x = 140,226,848,991.10
  5. Step 5: Solve for x
    x = 140,226,848,991.10/457,018.40
  6. Step 6: Final answer
    x = 306,829.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.