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Finding the Fourth Proportional to 288,598, 398,257.52 and 161,274.64

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Solution

The fourth proportional to 288,598, 398,257.52 and 161,274.64 is: 222,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,598 : 398,257.52 = 161,274.64 : x
  2. Step 2: Convert to fraction form
    288,598/398,257.52 = 161,274.64/x
  3. Step 3: Cross multiply
    288,598x = 398,257.52 × 161,274.64
  4. Step 4: Simplify right side
    288,598x = 64,228,838,165.29
  5. Step 5: Solve for x
    x = 64,228,838,165.29/288,598
  6. Step 6: Final answer
    x = 222,554.69

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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.