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Finding the Fourth Proportional to 384,999.08, 531,302.09 and 212,908.10

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Solution

The fourth proportional to 384,999.08, 531,302.09 and 212,908.10 is: 293,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,999.08 : 531,302.09 = 212,908.10 : x
  2. Step 2: Convert to fraction form
    384,999.08/531,302.09 = 212,908.10/x
  3. Step 3: Cross multiply
    384,999.08x = 531,302.09 × 212,908.10
  4. Step 4: Simplify right side
    384,999.08x = 113,118,514,786.88
  5. Step 5: Solve for x
    x = 113,118,514,786.88/384,999.08
  6. Step 6: Final answer
    x = 293,815.03

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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.