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Finding the Fourth Proportional to 384,714, 530,905.32 and 214,963.92

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Solution

The fourth proportional to 384,714, 530,905.32 and 214,963.92 is: 296,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714 : 530,905.32 = 214,963.92 : x
  2. Step 2: Convert to fraction form
    384,714/530,905.32 = 214,963.92/x
  3. Step 3: Cross multiply
    384,714x = 530,905.32 × 214,963.92
  4. Step 4: Simplify right side
    384,714x = 114,125,488,736.05
  5. Step 5: Solve for x
    x = 114,125,488,736.05/384,714
  6. Step 6: Final answer
    x = 296,650.21

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1.5x scale

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.