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Finding the Fourth Proportional to 413,635.70, 577,909 and 413,635.70

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Solution

The fourth proportional to 413,635.70, 577,909 and 413,635.70 is: 577,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,635.70 : 577,909 = 413,635.70 : x
  2. Step 2: Convert to fraction form
    413,635.70/577,909 = 413,635.70/x
  3. Step 3: Cross multiply
    413,635.70x = 577,909 × 413,635.70
  4. Step 4: Simplify right side
    413,635.70x = 239,043,793,751.30
  5. Step 5: Solve for x
    x = 239,043,793,751.30/413,635.70
  6. Step 6: Final answer
    x = 577,909

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.