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Finding the Fourth Proportional to 665,558.20, 998,337.30 and 413,615.80

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Solution

The fourth proportional to 665,558.20, 998,337.30 and 413,615.80 is: 620,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,558.20 : 998,337.30 = 413,615.80 : x
  2. Step 2: Convert to fraction form
    665,558.20/998,337.30 = 413,615.80/x
  3. Step 3: Cross multiply
    665,558.20x = 998,337.30 × 413,615.80
  4. Step 4: Simplify right side
    665,558.20x = 412,928,081,009.34
  5. Step 5: Solve for x
    x = 412,928,081,009.34/665,558.20
  6. Step 6: Final answer
    x = 620,423.70

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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.