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Finding the Fourth Proportional to 361,475.76, 498,849.84 and 218,208.13

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Solution

The fourth proportional to 361,475.76, 498,849.84 and 218,208.13 is: 301,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,475.76 : 498,849.84 = 218,208.13 : x
  2. Step 2: Convert to fraction form
    361,475.76/498,849.84 = 218,208.13/x
  3. Step 3: Cross multiply
    361,475.76x = 498,849.84 × 218,208.13
  4. Step 4: Simplify right side
    361,475.76x = 108,853,089,490.08
  5. Step 5: Solve for x
    x = 108,853,089,490.08/361,475.76
  6. Step 6: Final answer
    x = 301,135.24

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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.