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Finding the Fourth Proportional to 289,951.50, 400,133.80 and 169,175.82

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Solution

The fourth proportional to 289,951.50, 400,133.80 and 169,175.82 is: 233,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,951.50 : 400,133.80 = 169,175.82 : x
  2. Step 2: Convert to fraction form
    289,951.50/400,133.80 = 169,175.82/x
  3. Step 3: Cross multiply
    289,951.50x = 400,133.80 × 169,175.82
  4. Step 4: Simplify right side
    289,951.50x = 67,692,963,724.72
  5. Step 5: Solve for x
    x = 67,692,963,724.72/289,951.50
  6. Step 6: Final answer
    x = 233,463.06

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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.