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Finding the Fourth Proportional to 361,818.24, 499,201.92 and 210,888.96

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Solution

The fourth proportional to 361,818.24, 499,201.92 and 210,888.96 is: 290,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,818.24 : 499,201.92 = 210,888.96 : x
  2. Step 2: Convert to fraction form
    361,818.24/499,201.92 = 210,888.96/x
  3. Step 3: Cross multiply
    361,818.24x = 499,201.92 × 210,888.96
  4. Step 4: Simplify right side
    361,818.24x = 105,276,173,738.80
  5. Step 5: Solve for x
    x = 105,276,173,738.80/361,818.24
  6. Step 6: Final answer
    x = 290,964.25

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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.