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Finding the Fourth Proportional to 353,118, 487,343.44 and 209,876.64

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Solution

The fourth proportional to 353,118, 487,343.44 and 209,876.64 is: 289,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,118 : 487,343.44 = 209,876.64 : x
  2. Step 2: Convert to fraction form
    353,118/487,343.44 = 209,876.64/x
  3. Step 3: Cross multiply
    353,118x = 487,343.44 × 209,876.64
  4. Step 4: Simplify right side
    353,118x = 102,282,003,713.24
  5. Step 5: Solve for x
    x = 102,282,003,713.24/353,118
  6. Step 6: Final answer
    x = 289,653.89

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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.