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Finding the Fourth Proportional to 384,135.05, 530,135.75 and 212,086.19

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Solution

The fourth proportional to 384,135.05, 530,135.75 and 212,086.19 is: 292,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,135.05 : 530,135.75 = 212,086.19 : x
  2. Step 2: Convert to fraction form
    384,135.05/530,135.75 = 212,086.19/x
  3. Step 3: Cross multiply
    384,135.05x = 530,135.75 × 212,086.19
  4. Step 4: Simplify right side
    384,135.05x = 112,434,471,400.29
  5. Step 5: Solve for x
    x = 112,434,471,400.29/384,135.05
  6. Step 6: Final answer
    x = 292,695.16

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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.