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Finding the Fourth Proportional to 382,408.62, 527,702.22 and 212,639.10

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Solution

The fourth proportional to 382,408.62, 527,702.22 and 212,639.10 is: 293,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,408.62 : 527,702.22 = 212,639.10 : x
  2. Step 2: Convert to fraction form
    382,408.62/527,702.22 = 212,639.10/x
  3. Step 3: Cross multiply
    382,408.62x = 527,702.22 × 212,639.10
  4. Step 4: Simplify right side
    382,408.62x = 112,210,125,128.80
  5. Step 5: Solve for x
    x = 112,210,125,128.80/382,408.62
  6. Step 6: Final answer
    x = 293,429.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.