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Finding the Fourth Proportional to 382,395.62, 527,684.28 and 212,626.10

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Solution

The fourth proportional to 382,395.62, 527,684.28 and 212,626.10 is: 293,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,395.62 : 527,684.28 = 212,626.10 : x
  2. Step 2: Convert to fraction form
    382,395.62/527,684.28 = 212,626.10/x
  3. Step 3: Cross multiply
    382,395.62x = 527,684.28 × 212,626.10
  4. Step 4: Simplify right side
    382,395.62x = 112,199,450,487.71
  5. Step 5: Solve for x
    x = 112,199,450,487.71/382,395.62
  6. Step 6: Final answer
    x = 293,411.97

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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.