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Finding the Fourth Proportional to 361,432, 498,787.10 and 200,271.97

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Solution

The fourth proportional to 361,432, 498,787.10 and 200,271.97 is: 276,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,432 : 498,787.10 = 200,271.97 : x
  2. Step 2: Convert to fraction form
    361,432/498,787.10 = 200,271.97/x
  3. Step 3: Cross multiply
    361,432x = 498,787.10 × 200,271.97
  4. Step 4: Simplify right side
    361,432x = 99,893,075,127.59
  5. Step 5: Solve for x
    x = 99,893,075,127.59/361,432
  6. Step 6: Final answer
    x = 276,381.38

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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.