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Finding the Fourth Proportional to 656,103.40, 984,615.90 and 420,020.20

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Solution

The fourth proportional to 656,103.40, 984,615.90 and 420,020.20 is: 630,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,103.40 : 984,615.90 = 420,020.20 : x
  2. Step 2: Convert to fraction form
    656,103.40/984,615.90 = 420,020.20/x
  3. Step 3: Cross multiply
    656,103.40x = 984,615.90 × 420,020.20
  4. Step 4: Simplify right side
    656,103.40x = 413,558,567,241.18
  5. Step 5: Solve for x
    x = 413,558,567,241.18/656,103.40
  6. Step 6: Final answer
    x = 630,325.29

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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.