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Finding the Fourth Proportional to 289,596.40, 399,200 and 203,313.32

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Solution

The fourth proportional to 289,596.40, 399,200 and 203,313.32 is: 280,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.40 : 399,200 = 203,313.32 : x
  2. Step 2: Convert to fraction form
    289,596.40/399,200 = 203,313.32/x
  3. Step 3: Cross multiply
    289,596.40x = 399,200 × 203,313.32
  4. Step 4: Simplify right side
    289,596.40x = 81,162,677,344
  5. Step 5: Solve for x
    x = 81,162,677,344/289,596.40
  6. Step 6: Final answer
    x = 280,261.35

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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.