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Finding the Fourth Proportional to 639,697.50, 882,793.49 and 413,736.66

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Solution

The fourth proportional to 639,697.50, 882,793.49 and 413,736.66 is: 570,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,697.50 : 882,793.49 = 413,736.66 : x
  2. Step 2: Convert to fraction form
    639,697.50/882,793.49 = 413,736.66/x
  3. Step 3: Cross multiply
    639,697.50x = 882,793.49 × 413,736.66
  4. Step 4: Simplify right side
    639,697.50x = 365,244,027,953.66
  5. Step 5: Solve for x
    x = 365,244,027,953.66/639,697.50
  6. Step 6: Final answer
    x = 570,963.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.