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Finding the Fourth Proportional to 617,438.80, 926,676.60 and 280,997.20

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Solution

The fourth proportional to 617,438.80, 926,676.60 and 280,997.20 is: 421,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,438.80 : 926,676.60 = 280,997.20 : x
  2. Step 2: Convert to fraction form
    617,438.80/926,676.60 = 280,997.20/x
  3. Step 3: Cross multiply
    617,438.80x = 926,676.60 × 280,997.20
  4. Step 4: Simplify right side
    617,438.80x = 260,393,529,905.52
  5. Step 5: Solve for x
    x = 260,393,529,905.52/617,438.80
  6. Step 6: Final answer
    x = 421,731.72

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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.