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Finding the Fourth Proportional to 288,605.64, 398,284.26 and 161,281.50

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Solution

The fourth proportional to 288,605.64, 398,284.26 and 161,281.50 is: 222,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,605.64 : 398,284.26 = 161,281.50 : x
  2. Step 2: Convert to fraction form
    288,605.64/398,284.26 = 161,281.50/x
  3. Step 3: Cross multiply
    288,605.64x = 398,284.26 × 161,281.50
  4. Step 4: Simplify right side
    288,605.64x = 64,235,882,879.19
  5. Step 5: Solve for x
    x = 64,235,882,879.19/288,605.64
  6. Step 6: Final answer
    x = 222,573.21

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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.