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Finding the Fourth Proportional to 281,838.42, 388,952.96 and 167,184.95

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Solution

The fourth proportional to 281,838.42, 388,952.96 and 167,184.95 is: 230,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,838.42 : 388,952.96 = 167,184.95 : x
  2. Step 2: Convert to fraction form
    281,838.42/388,952.96 = 167,184.95/x
  3. Step 3: Cross multiply
    281,838.42x = 388,952.96 × 167,184.95
  4. Step 4: Simplify right side
    281,838.42x = 65,027,078,389.26
  5. Step 5: Solve for x
    x = 65,027,078,389.26/281,838.42
  6. Step 6: Final answer
    x = 230,724.68

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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.