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Finding the Fourth Proportional to 665,027.80, 997,671.30 and 285,947.80

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Solution

The fourth proportional to 665,027.80, 997,671.30 and 285,947.80 is: 428,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,027.80 : 997,671.30 = 285,947.80 : x
  2. Step 2: Convert to fraction form
    665,027.80/997,671.30 = 285,947.80/x
  3. Step 3: Cross multiply
    665,027.80x = 997,671.30 × 285,947.80
  4. Step 4: Simplify right side
    665,027.80x = 285,281,913,358.14
  5. Step 5: Solve for x
    x = 285,281,913,358.14/665,027.80
  6. Step 6: Final answer
    x = 428,977.43

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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.