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Finding the Fourth Proportional to 384,115.08, 530,080.64 and 212,029.91

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Solution

The fourth proportional to 384,115.08, 530,080.64 and 212,029.91 is: 292,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,115.08 : 530,080.64 = 212,029.91 : x
  2. Step 2: Convert to fraction form
    384,115.08/530,080.64 = 212,029.91/x
  3. Step 3: Cross multiply
    384,115.08x = 530,080.64 × 212,029.91
  4. Step 4: Simplify right side
    384,115.08x = 112,392,949,331.79
  5. Step 5: Solve for x
    x = 112,392,949,331.79/384,115.08
  6. Step 6: Final answer
    x = 292,602.29

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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.