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Finding the Fourth Proportional to 288,651.02, 398,350.74 and 161,326.64

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Solution

The fourth proportional to 288,651.02, 398,350.74 and 161,326.64 is: 222,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,651.02 : 398,350.74 = 161,326.64 : x
  2. Step 2: Convert to fraction form
    288,651.02/398,350.74 = 161,326.64/x
  3. Step 3: Cross multiply
    288,651.02x = 398,350.74 × 161,326.64
  4. Step 4: Simplify right side
    288,651.02x = 64,264,586,425.71
  5. Step 5: Solve for x
    x = 64,264,586,425.71/288,651.02
  6. Step 6: Final answer
    x = 222,637.66

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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.