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Finding the Fourth Proportional to 384,694.08, 530,868 and 214,929.28

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Solution

The fourth proportional to 384,694.08, 530,868 and 214,929.28 is: 296,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,694.08 : 530,868 = 214,929.28 : x
  2. Step 2: Convert to fraction form
    384,694.08/530,868 = 214,929.28/x
  3. Step 3: Cross multiply
    384,694.08x = 530,868 × 214,929.28
  4. Step 4: Simplify right side
    384,694.08x = 114,099,077,015.04
  5. Step 5: Solve for x
    x = 114,099,077,015.04/384,694.08
  6. Step 6: Final answer
    x = 296,596.91

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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.