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Finding the Fourth Proportional to 361,574.42, 498,964.73 and 200,428.07

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Solution

The fourth proportional to 361,574.42, 498,964.73 and 200,428.07 is: 276,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,574.42 : 498,964.73 = 200,428.07 : x
  2. Step 2: Convert to fraction form
    361,574.42/498,964.73 = 200,428.07/x
  3. Step 3: Cross multiply
    361,574.42x = 498,964.73 × 200,428.07
  4. Step 4: Simplify right side
    361,574.42x = 100,006,534,335.01
  5. Step 5: Solve for x
    x = 100,006,534,335.01/361,574.42
  6. Step 6: Final answer
    x = 276,586.31

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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.