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Finding the Fourth Proportional to 384,109.29, 530,070.92 and 212,027.36

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Solution

The fourth proportional to 384,109.29, 530,070.92 and 212,027.36 is: 292,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,109.29 : 530,070.92 = 212,027.36 : x
  2. Step 2: Convert to fraction form
    384,109.29/530,070.92 = 212,027.36/x
  3. Step 3: Cross multiply
    384,109.29x = 530,070.92 × 212,027.36
  4. Step 4: Simplify right side
    384,109.29x = 112,389,536,821.68
  5. Step 5: Solve for x
    x = 112,389,536,821.68/384,109.29
  6. Step 6: Final answer
    x = 292,597.81

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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.