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Finding the Fourth Proportional to 382,429.12, 527,730.42 and 212,659.60

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Solution

The fourth proportional to 382,429.12, 527,730.42 and 212,659.60 is: 293,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,429.12 : 527,730.42 = 212,659.60 : x
  2. Step 2: Convert to fraction form
    382,429.12/527,730.42 = 212,659.60/x
  3. Step 3: Cross multiply
    382,429.12x = 527,730.42 × 212,659.60
  4. Step 4: Simplify right side
    382,429.12x = 112,226,940,025.03
  5. Step 5: Solve for x
    x = 112,226,940,025.03/382,429.12
  6. Step 6: Final answer
    x = 293,458.14

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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.